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3792074916 = 223732931769
BaseRepresentation
bin1110001000000110…
…0111100010100100
3100210021110100212010
43202001213202210
530231232344131
61424141154220
7162654051000
oct34201474244
910707410763
103792074916
111676589013
12899b5b970
13485821116
1427d8ab700
15172da2b46
hexe20678a4

3792074916 has 96 divisors (see below), whose sum is σ = 10674720000. Its totient is φ = 1046056704.

The previous prime is 3792074873. The next prime is 3792074933. The reversal of 3792074916 is 6194702973.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103480 + ... + 135248.

It is an arithmetic number, because the mean of its divisors is an integer number (111195000).

Almost surely, 23792074916 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 3792074916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337360000).

3792074916 is an abundant number, since it is smaller than the sum of its proper divisors (6882645084).

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

3792074916 is a wasteful number, since it uses less digits than its factorization.

3792074916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31826 (or 31810 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 3792074916 is about 61579.8255599998. The cubic root of 3792074916 is about 1559.4051693399.

The spelling of 3792074916 in words is "three billion, seven hundred ninety-two million, seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 343 348 406 588 609 686 812 1029 1218 1372 1421 2058 2436 2842 4116 4263 5684 8526 9947 17052 19894 29841 31769 39788 59682 63538 95307 119364 127076 190614 222383 381228 444766 667149 889532 921301 1334298 1556681 1842602 2668596 2763903 3113362 3685204 4670043 5527806 6226724 6449107 9340086 10896767 11055612 12898214 18680172 19347321 21793534 25796428 32690301 38694642 43587068 45143749 65380602 77389284 90287498 130761204 135431247 180574996 270862494 316006243 541724988 632012486 948018729 1264024972 1896037458 3792074916