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3976908096 = 26373737933
BaseRepresentation
bin1110110100001010…
…1100110101000000
3101021011020212022110
43231002230311000
531121042024341
61454342535320
7200360106150
oct35502546500
911234225273
103976908096
111760951a07
1292ba37540
134b4bc7b75
1429a262760
15184213216
hexed0acd40

3976908096 has 112 divisors (see below), whose sum is σ = 12059172224. Its totient is φ = 1133070336.

The previous prime is 3976908083. The next prime is 3976908097. The reversal of 3976908096 is 6908096793.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976908097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497346 + ... + 505278.

Almost surely, 23976908096 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 3976908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6029586112).

3976908096 is an abundant number, since it is smaller than the sum of its proper divisors (8082264128).

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

3976908096 is a wasteful number, since it uses less digits than its factorization.

3976908096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8318 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The square root of 3976908096 is about 63062.7314346596. The cubic root of 3976908096 is about 1584.3404787938.

The spelling of 3976908096 in words is "three billion, nine hundred seventy-six million, nine hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 373 448 672 746 1119 1344 1492 2238 2611 2984 4476 5222 5968 7833 7933 8952 10444 11936 15666 15866 17904 20888 23799 23872 31332 31732 35808 41776 47598 55531 62664 63464 71616 83552 95196 111062 125328 126928 166593 167104 190392 222124 250656 253856 333186 380784 444248 501312 507712 666372 761568 888496 1332744 1523136 1776992 2665488 2959009 3553984 5330976 5918018 8877027 10661952 11836036 17754054 20713063 23672072 35508108 41426126 47344144 62139189 71016216 82852252 94688288 124278378 142032432 165704504 189376576 248556756 284064864 331409008 497113512 568129728 662818016 994227024 1325636032 1988454048 3976908096