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52536564 = 223210114449
BaseRepresentation
bin1100100001101…
…0010011110100
310122212010121200
43020122103310
5101422132224
65114012500
71205360553
oct310322364
9118763550
1052536564
1127723553
1215717130
13ab65b32
146d97d9a
15492b5c9
hex321a4f4

52536564 has 36 divisors (see below), whose sum is σ = 134124900. Its totient is φ = 17337600.

The previous prime is 52536563. The next prime is 52536569. The reversal of 52536564 is 46563525.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 51236964 + 1299600 = 7158^2 + 1140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (52536563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3589 + ... + 10860.

Almost surely, 252536564 is an apocalyptic number.

It is an amenable number.

52536564 is an abundant number, since it is smaller than the sum of its proper divisors (81588336).

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

52536564 is a wasteful number, since it uses less digits than its factorization.

52536564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14560 (or 14555 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 52536564 is about 7248.2110896414. The cubic root of 52536564 is about 374.5305271660.

The spelling of 52536564 in words is "fifty-two million, five hundred thirty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 14449 28898 43347 57796 86694 130041 173388 260082 520164 1459349 2918698 4378047 5837396 8756094 13134141 17512188 26268282 52536564