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51532884 = 223213293797
BaseRepresentation
bin1100010010010…
…1010001010100
310120222010211100
43010211101110
5101143023014
65040310100
71164010434
oct304452124
9116863740
1051532884
11270a8467
1215312330
13a8a4040
146bb62c4
1547ce009
hex3125454

51532884 has 72 divisors (see below), whose sum is σ = 145159560. Its totient is φ = 15305472.

The previous prime is 51532867. The next prime is 51532889. The reversal of 51532884 is 48823515.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 810000 + 50722884 = 900^2 + 7122^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51532889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11674 + ... + 15470.

It is an arithmetic number, because the mean of its divisors is an integer number (2016105).

Almost surely, 251532884 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 51532884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72579780).

51532884 is an abundant number, since it is smaller than the sum of its proper divisors (93626676).

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

51532884 is a wasteful number, since it uses less digits than its factorization.

51532884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849 (or 3844 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 51532884 is about 7178.6408184280. The cubic root of 51532884 is about 372.1301140409.

The spelling of 51532884 in words is "fifty-one million, five hundred thirty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 3797 4524 6786 7594 11391 13572 15188 22782 34173 45564 49361 68346 98722 110113 136692 148083 197444 220226 296166 330339 440452 444249 592332 660678 888498 991017 1321356 1431469 1776996 1982034 2862938 3964068 4294407 5725876 8588814 12883221 17177628 25766442 51532884