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55932 = 2235979
BaseRepresentation
bin1101101001111100
32211201120
431221330
53242212
61110540
7322032
oct155174
984646
1055932
1139028
1228450
131c5c6
1416552
151188c
hexda7c

55932 has 24 divisors (see below), whose sum is σ = 134400. Its totient is φ = 18096.

The previous prime is 55931. The next prime is 55933. The reversal of 55932 is 23955.

It is an interprime number because it is at equal distance from previous prime (55931) and next prime (55933).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55932.

It is not an unprimeable number, because it can be changed into a prime (55931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 669 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

255932 is an apocalyptic number.

It is a pronic number, being equal to 236×237.

It is an amenable number.

55932 is an abundant number, since it is smaller than the sum of its proper divisors (78468).

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 (67200).

55932 is a wasteful number, since it uses less digits than its factorization.

55932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 143 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 55932 is about 236.4994714582. The cubic root of 55932 is about 38.2431317498.

The spelling of 55932 in words is "fifty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 79 118 158 177 236 237 316 354 474 708 948 4661 9322 13983 18644 27966 55932