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51528864 = 2533789163
BaseRepresentation
bin1100010010010…
…0010010100000
310120221221022110
43010210102200
5101142410424
65040235320
71163662632
oct304442240
9116857273
1051528864
11270a5442
121530bb40
13a8a226a
146bb4a52
1547ccc29
hex31244a0

51528864 has 96 divisors (see below), whose sum is σ = 141341760. Its totient is φ = 16422912.

The previous prime is 51528859. The next prime is 51528899. The reversal of 51528864 is 46882515.

It is a tau number, because it is divible by the number of its divisors (96).

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, 316047 + ... + 316209.

It is an arithmetic number, because the mean of its divisors is an integer number (1472310).

Almost surely, 251528864 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 51528864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70670880).

51528864 is an abundant number, since it is smaller than the sum of its proper divisors (89812896).

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

51528864 is a wasteful number, since it uses less digits than its factorization.

51528864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its digits is 76800, while the sum is 39.

The square root of 51528864 is about 7178.3608156737. The cubic root of 51528864 is about 372.1204373591.

The spelling of 51528864 in words is "fifty-one million, five hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 89 96 111 148 163 178 222 267 296 326 356 444 489 534 592 652 712 888 978 1068 1184 1304 1424 1776 1956 2136 2608 2848 3293 3552 3912 4272 5216 6031 6586 7824 8544 9879 12062 13172 14507 15648 18093 19758 24124 26344 29014 36186 39516 43521 48248 52688 58028 72372 79032 87042 96496 105376 116056 144744 158064 174084 192992 232112 289488 316128 348168 464224 536759 578976 696336 1073518 1392672 1610277 2147036 3220554 4294072 6441108 8588144 12882216 17176288 25764432 51528864