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52608564 = 22321461349
BaseRepresentation
bin1100100010101…
…1111000110100
310122222210101100
43020223320310
5101431433224
65115330100
71206110511
oct310537064
9118883340
1052608564
1127772658
1215750930
13ab8c838
146db6308
154942ac9
hex322be34

52608564 has 18 divisors (see below), whose sum is σ = 132982850. Its totient is φ = 17536176.

The previous prime is 52608559. The next prime is 52608623. The reversal of 52608564 is 46580625.

52608564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 34715664 + 17892900 = 5892^2 + 4230^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×526085642 = 5535322012284192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1461349 = 52608564 / (5 + 2 + 6 + 0 + 8 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 730639 + ... + 730710.

Almost surely, 252608564 is an apocalyptic number.

It is an amenable number.

52608564 is an abundant number, since it is smaller than the sum of its proper divisors (80374286).

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

52608564 is a wasteful number, since it uses less digits than its factorization.

52608564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461359 (or 1461354 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 52608564 is about 7253.1761318749. The cubic root of 52608564 is about 374.7015438602.

It can be divided in two parts, 5260 and 8564, that added together give a cube (13824 = 243).

The spelling of 52608564 in words is "fifty-two million, six hundred eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1461349 2922698 4384047 5845396 8768094 13152141 17536188 26304282 52608564