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56267904 = 2737112173
BaseRepresentation
bin1101011010100…
…1010010000000
310220212201001110
43112221102000
5103401033104
65330003320
71252161240
oct326512200
9126781043
1056267904
1129841a00
1216a16540
13b871324
147689b20
154e16e89
hex35a9480

56267904 has 192 divisors, whose sum is σ = 188838720. Its totient is φ = 14530560.

The previous prime is 56267851. The next prime is 56267921. The reversal of 56267904 is 40976265.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) 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 23 ways as a sum of consecutive naturals, for example, 325162 + ... + 325334.

It is an arithmetic number, because the mean of its divisors is an integer number (983535).

Almost surely, 256267904 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 56267904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94419360).

56267904 is an abundant number, since it is smaller than the sum of its proper divisors (132570816).

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

56267904 is a wasteful number, since it uses less digits than its factorization.

56267904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 56267904 is about 7501.1935050364. The cubic root of 56267904 is about 383.1953637484.

It can be divided in two parts, 5626 and 7904, that added together give a triangular number (13530 = T164).

The spelling of 56267904 in words is "fifty-six million, two hundred sixty-seven thousand, nine hundred four".