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3978932904 = 2332411347877
BaseRepresentation
bin1110110100101001…
…1011001010101000
3101021022001201211100
43231022123022220
531122101323104
61454454201400
7200413241322
oct35512331250
911238051740
103978932904
111762005201
12930653260
134b545668b
1429a62c612
151844b3139
hexed29b2a8

3978932904 has 48 divisors (see below), whose sum is σ = 11039120820. Its totient is φ = 1293960960.

The previous prime is 3978932857. The next prime is 3978932911. The reversal of 3978932904 is 4092398793.

3978932904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3516252804 + 462680100 = 59298^2 + 21510^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670987 + ... + 676890.

Almost surely, 23978932904 is an apocalyptic number.

It is an amenable number.

3978932904 is an abundant number, since it is smaller than the sum of its proper divisors (7060187916).

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

3978932904 is a wasteful number, since it uses less digits than its factorization.

3978932904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347930 (or 1347923 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 3978932904 is about 63078.7833110310. The cubic root of 3978932904 is about 1584.6093175426.

The spelling of 3978932904 in words is "three billion, nine hundred seventy-eight million, nine hundred thirty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 1347877 2695754 4043631 5391508 8087262 10783016 12130893 16174524 24261786 32349048 48523572 55262957 97047144 110525914 165788871 221051828 331577742 442103656 497366613 663155484 994733226 1326310968 1989466452 3978932904