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52532568 = 233211193491
BaseRepresentation
bin1100100001100…
…1010101011000
310122211221010200
43020121111120
5101422020233
65113542200
71205343114
oct310312530
9118757120
1052532568
1127720550
1215714960
13ab6407a
146d96744
15492a313
hex3219558

52532568 has 96 divisors (see below), whose sum is σ = 163425600. Its totient is φ = 15076800.

The previous prime is 52532561. The next prime is 52532629. The reversal of 52532568 is 86523525.

It is a happy number.

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 (52532561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13303 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (1702350).

Almost surely, 252532568 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 52532568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81712800).

52532568 is an abundant number, since it is smaller than the sum of its proper divisors (110893032).

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

52532568 is a wasteful number, since it uses less digits than its factorization.

52532568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3526 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52532568 is about 7247.9354301760. The cubic root of 52532568 is about 374.5210311641.

It can be divided in two parts, 5253256 and 8, that added together give a square (5253264 = 22922).

The spelling of 52532568 in words is "fifty-two million, five hundred thirty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3491 3762 5016 6982 7524 10473 13964 15048 20946 27928 31419 38401 41892 62838 66329 76802 83784 115203 125676 132658 153604 198987 230406 251352 265316 307208 345609 397974 460812 530632 596961 691218 729619 795948 921624 1193922 1382436 1459238 1591896 2188857 2387844 2764872 2918476 4377714 4775688 5836952 6566571 8755428 13133142 17510856 26266284 52532568