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3250561536 = 2933832833
BaseRepresentation
bin1100000110111111…
…1010001000000000
322101112111122011000
43001233322020000
523124120432121
61254314452000
7143360213535
oct30157721000
98345448130
103250561536
111418947aa2
12768734000
133ca5926c1
1422b9cad8c
15140589526
hexc1bfa200

3250561536 has 160 divisors (see below), whose sum is σ = 9741251520. Its totient is φ = 1070088192.

The previous prime is 3250561511. The next prime is 3250561537. The reversal of 3250561536 is 6351650523.

3250561536 is a `hidden beast` number, since 3 + 2 + 5 + 0 + 5 + 615 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3250561536.

It is not an unprimeable number, because it can be changed into a prime (3250561537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145976 + ... + 1148808.

It is an arithmetic number, because the mean of its divisors is an integer number (60882822).

Almost surely, 23250561536 is an apocalyptic number.

3250561536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3250561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870625760).

3250561536 is an abundant number, since it is smaller than the sum of its proper divisors (6490689984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3250561536 is an equidigital number, since it uses as much as digits as its factorization.

3250561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3250561536 is about 57013.6960387590. The cubic root of 3250561536 is about 1481.3333394546. Note that the first 5 decimals are identical.

The spelling of 3250561536 in words is "three billion, two hundred fifty million, five hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 83 96 108 128 144 166 192 216 249 256 288 332 384 432 498 512 576 664 747 768 864 996 1152 1328 1494 1536 1728 1992 2241 2304 2656 2833 2988 3456 3984 4482 4608 5312 5666 5976 6912 7968 8499 8964 10624 11332 11952 13824 15936 16998 17928 21248 22664 23904 25497 31872 33996 35856 42496 45328 47808 50994 63744 67992 71712 76491 90656 95616 101988 127488 135984 143424 152982 181312 191232 203976 235139 271968 286848 305964 362624 382464 407952 470278 543936 573696 611928 705417 725248 815904 940556 1087872 1147392 1223856 1410834 1450496 1631808 1881112 2116251 2175744 2447712 2821668 3263616 3762224 4232502 4351488 4895424 5643336 6348753 6527232 7524448 8465004 9790848 11286672 12697506 13054464 15048896 16930008 19581696 22573344 25395012 30097792 33860016 39163392 45146688 50790024 60195584 67720032 90293376 101580048 120391168 135440064 180586752 203160096 270880128 361173504 406320192 541760256 812640384 1083520512 1625280768 3250561536