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64532 = 22131773
BaseRepresentation
bin1111110000010100
310021112002
433300110
54031112
61214432
7356066
oct176024
9107462
1064532
1144536
1231418
13234b0
1419736
15141c2
hexfc14

64532 has 24 divisors (see below), whose sum is σ = 130536. Its totient is φ = 27648.

The previous prime is 64513. The next prime is 64553. The reversal of 64532 is 23546.

64532 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 4 ways, for example, as 8836 + 55696 = 94^2 + 236^2 .

It is a congruent number.

It is an unprimeable number.

64532 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (5439).

264532 is an apocalyptic number.

It is an amenable number.

64532 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65268).

64532 is a wasteful number, since it uses less digits than its factorization.

64532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 64532 is about 254.0314941105. The cubic root of 64532 is about 40.1105276430.

The spelling of 64532 in words is "sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 73 146 221 292 442 884 949 1241 1898 2482 3796 4964 16133 32266 64532