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3785244264 = 2333471792083
BaseRepresentation
bin1110000110011110…
…0011111001101000
3100202210121022222000
43201213203321220
530223010304024
61423334531000
7162542021364
oct34147437150
910683538860
103785244264
11167274304a
12897806a60
1348429c009
1427ca102a4
151724a3cc9
hexe19e3e68

3785244264 has 128 divisors (see below), whose sum is σ = 10803456000. Its totient is φ = 1227413952.

The previous prime is 3785244241. The next prime is 3785244269. The reversal of 3785244264 is 4624425873.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3785244269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1816167 + ... + 1818249.

It is an arithmetic number, because the mean of its divisors is an integer number (84402000).

Almost surely, 23785244264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3785244264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5401728000).

3785244264 is an abundant number, since it is smaller than the sum of its proper divisors (7018211736).

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

3785244264 is a wasteful number, since it uses less digits than its factorization.

3785244264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2314 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 3785244264 is about 61524.3387936839. The cubic root of 3785244264 is about 1558.4682894575.

The spelling of 3785244264 in words is "three billion, seven hundred eighty-five million, two hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 179 188 216 282 358 376 423 537 564 716 846 1074 1128 1269 1432 1611 1692 2083 2148 2538 3222 3384 4166 4296 4833 5076 6249 6444 8332 8413 9666 10152 12498 12888 16664 16826 18747 19332 24996 25239 33652 37494 38664 49992 50478 56241 67304 74988 75717 97901 100956 112482 149976 151434 195802 201912 224964 227151 293703 302868 372857 391604 449928 454302 587406 605736 745714 783208 881109 908604 1118571 1174812 1491428 1762218 1817208 2237142 2349624 2643327 2982856 3355713 3524436 4474284 5286654 6711426 7048872 8948568 10067139 10573308 13422852 17524279 20134278 21146616 26845704 35048558 40268556 52572837 70097116 80537112 105145674 140194232 157718511 210291348 315437022 420582696 473155533 630874044 946311066 1261748088 1892622132 3785244264