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45632 = 262331
BaseRepresentation
bin1011001001000000
32022121002
423021000
52430012
6551132
7250016
oct131100
968532
1045632
1131314
12224a8
1317a02
14128b6
15d7c2
hexb240

45632 has 28 divisors (see below), whose sum is σ = 97536. Its totient is φ = 21120.

The previous prime is 45631. The next prime is 45641. The reversal of 45632 is 23654.

It is an alternating number because its digits alternate between even and odd.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 45632.

It is not an unprimeable number, because it can be changed into a prime (45631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1457 + ... + 1487.

45632 is a Friedman number, since it can be written as (3*2)^6-4^5, using all its digits and the basic arithmetic operations.

245632 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 45632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48768).

45632 is an abundant number, since it is smaller than the sum of its proper divisors (51904).

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

45632 is a wasteful number, since it uses less digits than its factorization.

45632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 56 counting only the distinct ones).

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

The square root of 45632 is about 213.6164787651. The cubic root of 45632 is about 35.7346748339.

The spelling of 45632 in words is "forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 45632