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52257564 = 22322363113
BaseRepresentation
bin1100011101011…
…0001100011100
310122022221220100
43013112030130
5101334220224
65104021100
71203116262
oct307261434
9118287810
1052257564
1127552977
1215601790
13aa98b48
146d24432
1548c3ac9
hex31d631c

52257564 has 36 divisors (see below), whose sum is σ = 137840976. Its totient is φ = 16661568.

The previous prime is 52257563. The next prime is 52257593. The reversal of 52257564 is 46575225.

52257564 is a `hidden beast` number, since 5 + 22 + 575 + 64 = 666.

52257564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (52257563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30729 + ... + 32384.

It is an arithmetic number, because the mean of its divisors is an integer number (3828916).

Almost surely, 252257564 is an apocalyptic number.

It is an amenable number.

52257564 is an abundant number, since it is smaller than the sum of its proper divisors (85583412).

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

52257564 is a wasteful number, since it uses less digits than its factorization.

52257564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63146 (or 63141 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 52257564 is about 7228.9393412865. The cubic root of 52257564 is about 373.8663577339.

The spelling of 52257564 in words is "fifty-two million, two hundred fifty-seven thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 63113 126226 189339 252452 378678 568017 757356 1136034 1451599 2272068 2903198 4354797 5806396 8709594 13064391 17419188 26128782 52257564