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52896928 = 2571729479
BaseRepresentation
bin1100100111001…
…0010010100000
310200112102221111
43021302102200
5102020200203
65125433104
71211421310
oct311622240
9120472844
1052896928
112794a277
121586b794
13ac60b76
14704d440
15499d26d
hex32724a0

52896928 has 96 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 20557824.

The previous prime is 52896919. The next prime is 52896947. The reversal of 52896928 is 82969825.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110193 + ... + 110671.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 252896928 is an apocalyptic number.

52896928 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

52896928 is an abundant number, since it is smaller than the sum of its proper divisors (77739872).

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

52896928 is a wasteful number, since it uses less digits than its factorization.

52896928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its digits is 622080, while the sum is 49.

The square root of 52896928 is about 7273.0274301696. The cubic root of 52896928 is about 375.3849155863.

It can be divided in two parts, 52896 and 928, that added together give a square (53824 = 2322).

The spelling of 52896928 in words is "fifty-two million, eight hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 29 32 34 56 58 68 112 116 119 136 203 224 232 238 272 406 464 476 479 493 544 812 928 952 958 986 1624 1904 1916 1972 3248 3353 3451 3808 3832 3944 6496 6706 6902 7664 7888 8143 13412 13804 13891 15328 15776 16286 26824 27608 27782 32572 53648 55216 55564 57001 65144 97237 107296 110432 111128 114002 130288 194474 222256 228004 236147 260576 388948 444512 456008 472294 777896 912016 944588 1555792 1653029 1824032 1889176 3111584 3306058 3778352 6612116 7556704 13224232 26448464 52896928