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3825281712 = 243791112497
BaseRepresentation
bin1110010000000001…
…0010101010110000
3100212120221110000110
43210000102222300
530313233003322
61431325021320
7163536233550
oct34400225260
910776843013
103825281712
1116932a984a
128a90b4840
1348c679905
14284073160
15175c61c0c
hexe4012ab0

3825281712 has 80 divisors (see below), whose sum is σ = 11306990592. Its totient is φ = 1091650560.

The previous prime is 3825281711. The next prime is 3825281753. The reversal of 3825281712 is 2171825283.

It is not an unprimeable number, because it can be changed into a prime (3825281711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299848 + ... + 312344.

Almost surely, 23825281712 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 3825281712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653495296).

3825281712 is an abundant number, since it is smaller than the sum of its proper divisors (7481708880).

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

3825281712 is a wasteful number, since it uses less digits than its factorization.

3825281712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13426 (or 13420 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 3825281712 is about 61848.8618488651. The cubic root of 3825281712 is about 1563.9437952256.

The spelling of 3825281712 in words is "three billion, eight hundred twenty-five million, two hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 911 1822 2733 3644 5466 6377 7288 10932 12497 12754 14576 19131 21864 24994 25508 37491 38262 43728 49988 51016 74982 76524 87479 99976 102032 149964 153048 174958 199952 262437 299928 306096 349916 524874 599856 699832 1049748 1399664 2099496 4198992 11384767 22769534 34154301 45539068 68308602 79693369 91078136 136617204 159386738 182156272 239080107 273234408 318773476 478160214 546468816 637546952 956320428 1275093904 1912640856 3825281712