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45664 = 251427
BaseRepresentation
bin1011001001100000
32022122021
423021200
52430124
6551224
7250063
oct131140
968567
1045664
1131343
1222514
1317a28
14128da
15d7e4
hexb260

45664 has 12 divisors (see below), whose sum is σ = 89964. Its totient is φ = 22816.

The previous prime is 45659. The next prime is 45667. The reversal of 45664 is 46654.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 682 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (7497).

245664 is an apocalyptic number.

It is an amenable number.

45664 is a deficient number, since it is larger than the sum of its proper divisors (44300).

45664 is a wasteful number, since it uses less digits than its factorization.

45664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1429 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 45664 is about 213.6913662271. The cubic root of 45664 is about 35.7430260085.

Subtracting 45664 from its reverse (46654), we obtain a triangular number (990 = T44).

The spelling of 45664 in words is "forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 1427 2854 5708 11416 22832 45664