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53064132 = 223111812221
BaseRepresentation
bin1100101001101…
…1000111000100
310200211221022020
43022123013010
5102041023012
65133203140
71213015632
oct312330704
9120757266
1053064132
1127a53960
12159304b0
13acbbcc4
147094352
1549d2a8c
hex329b1c4

53064132 has 48 divisors (see below), whose sum is σ = 135879744. Its totient is φ = 15984000.

The previous prime is 53064097. The next prime is 53064133. The reversal of 53064132 is 23146035.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (53064133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22782 + ... + 25002.

It is an arithmetic number, because the mean of its divisors is an integer number (2830828).

Almost surely, 253064132 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 53064132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67939872).

53064132 is an abundant number, since it is smaller than the sum of its proper divisors (82815612).

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

53064132 is a wasteful number, since it uses less digits than its factorization.

53064132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53064132 is about 7284.5131614954. The cubic root of 53064132 is about 375.7800226032.

The spelling of 53064132 in words is "fifty-three million, sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 2221 3982 4442 5973 6663 7964 8884 11946 13326 23892 24431 26652 48862 73293 97724 146586 293172 402001 804002 1206003 1608004 2412006 4422011 4824012 8844022 13266033 17688044 26532066 53064132