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52527384 = 23327138017
BaseRepresentation
bin1100100001100…
…0000100011000
310122211200000200
43020120010120
5101421334014
65113502200
71205322030
oct310300430
9118750020
1052527384
1127717668
1215711960
13ab618c0
146d948c0
154928a09
hex3218118

52527384 has 96 divisors (see below), whose sum is σ = 175113120. Its totient is φ = 13851648.

The previous prime is 52527379. The next prime is 52527389. The reversal of 52527384 is 48372525.

52527384 is a `hidden beast` number, since 52 + 527 + 3 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (52527379) and next prime (52527389).

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 (52527389) 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, 2544 + ... + 10560.

It is an arithmetic number, because the mean of its divisors is an integer number (1824095).

Almost surely, 252527384 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 52527384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87556560).

52527384 is an abundant number, since it is smaller than the sum of its proper divisors (122585736).

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

52527384 is a wasteful number, since it uses less digits than its factorization.

52527384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8049 (or 8042 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 52527384 is about 7247.5778022730. The cubic root of 52527384 is about 374.5087113089.

The spelling of 52527384 in words is "fifty-two million, five hundred twenty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 8017 16034 24051 32068 48102 56119 64136 72153 96204 104221 112238 144306 168357 192408 208442 224476 288612 312663 336714 416884 448952 505071 577224 625326 673428 729547 833768 937989 1010142 1250652 1346856 1459094 1875978 2020284 2188641 2501304 2918188 3751956 4040568 4377282 5836376 6565923 7503912 8754564 13131846 17509128 26263692 52527384