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904061696 = 28109179181
BaseRepresentation
bin110101111000101…
…110001100000000
32100000011002111112
4311320232030000
53322414433241
6225413102452
731255253246
oct6570561400
92300132445
10904061696
11424356a2a
12212927a28
131153b9365
14880d6796
15545801eb
hex35e2e300

904061696 has 72 divisors (see below), whose sum is σ = 1841439600. Its totient is φ = 442920960.

The previous prime is 904061677. The next prime is 904061707. The reversal of 904061696 is 696160409.

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 7 ways as a sum of consecutive naturals, for example, 4994726 + ... + 4994906.

It is an arithmetic number, because the mean of its divisors is an integer number (25575550).

Almost surely, 2904061696 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 904061696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920719800).

904061696 is an abundant number, since it is smaller than the sum of its proper divisors (937377904).

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

904061696 is a wasteful number, since it uses less digits than its factorization.

904061696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 904061696 is about 30067.6187284594. The cubic root of 904061696 is about 966.9396215849.

The spelling of 904061696 in words is "nine hundred four million, sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 109 128 179 181 218 256 358 362 436 716 724 872 1432 1448 1744 2864 2896 3488 5728 5792 6976 11456 11584 13952 19511 19729 22912 23168 27904 32399 39022 39458 45824 46336 64798 78044 78916 129596 156088 157832 259192 312176 315664 518384 624352 631328 1036768 1248704 1262656 2073536 2497408 2525312 3531491 4147072 4994816 5050624 7062982 8294144 14125964 28251928 56503856 113007712 226015424 452030848 904061696