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45332 = 2271619
BaseRepresentation
bin1011000100010100
32022011222
423010110
52422312
6545512
7246110
oct130424
968158
1045332
1131071
1222298
1317831
1412740
15d672
hexb114

45332 has 12 divisors (see below), whose sum is σ = 90720. Its totient is φ = 19416.

The previous prime is 45329. The next prime is 45337. The reversal of 45332 is 23354.

45332 is an admirable number.

It is a self number, because there is not a number n which added to its sum of digits gives 45332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45337) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782 + ... + 837.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

245332 is an apocalyptic number.

It is an amenable number.

45332 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 (45360).

45332 is a wasteful number, since it uses less digits than its factorization.

45332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1628 counting only the distinct ones).

The product of its digits is 360, while the sum is 17.

The square root of 45332 is about 212.9131278245. The cubic root of 45332 is about 35.6561920309.

Adding to 45332 its reverse (23354), we get a palindrome (68686).

The spelling of 45332 in words is "forty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 1619 3238 6476 11333 22666 45332