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57888896 = 2713191831
BaseRepresentation
bin1101110011010…
…1000010000000
311000221001122012
43130311002000
5104304421041
65424432052
71302022202
oct334650200
9130831565
1057888896
112a74986a
1217478628
13bcbb0b0
14798c772
1551373eb
hex3735080

57888896 has 64 divisors (see below), whose sum is σ = 130804800. Its totient is φ = 25297920.

The previous prime is 57888881. The next prime is 57888911. The reversal of 57888896 is 69888875.

It is an interprime number because it is at equal distance from previous prime (57888881) and next prime (57888911).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×578888962 = 6702248560197632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30701 + ... + 32531.

It is an arithmetic number, because the mean of its divisors is an integer number (2043825).

Almost surely, 257888896 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 57888896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402400).

57888896 is an abundant number, since it is smaller than the sum of its proper divisors (72915904).

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

57888896 is a wasteful number, since it uses less digits than its factorization.

57888896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1865 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 59.

The square root of 57888896 is about 7608.4752743240. The cubic root of 57888896 is about 386.8403394749.

The spelling of 57888896 in words is "fifty-seven million, eight hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 304 416 494 608 832 988 1216 1664 1831 1976 2432 3662 3952 7324 7904 14648 15808 23803 29296 31616 34789 47606 58592 69578 95212 117184 139156 190424 234368 278312 380848 452257 556624 761696 904514 1113248 1523392 1809028 2226496 3046784 3618056 4452992 7236112 14472224 28944448 57888896