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232956 = 2234719
BaseRepresentation
bin111000110111111100
3102211120000
4320313330
524423311
64554300
71660113
oct706774
9384500
10232956
1114a029
12b2990
1382059
1460c7a
1549056
hex38dfc

232956 has 30 divisors (see below), whose sum is σ = 609840. Its totient is φ = 77544.

The previous prime is 232937. The next prime is 232961. The reversal of 232956 is 659232.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

232956 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 9 ways as a sum of consecutive naturals, for example, 36 + ... + 683.

It is an arithmetic number, because the mean of its divisors is an integer number (20328).

2232956 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 232956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304920).

232956 is an abundant number, since it is smaller than the sum of its proper divisors (376884).

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

232956 is a wasteful number, since it uses less digits than its factorization.

232956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 232956 is about 482.6551564005. The cubic root of 232956 is about 61.5306212768.

Adding to 232956 its product of digits (3240), we get a square (236196 = 4862).

The spelling of 232956 in words is "two hundred thirty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 719 1438 2157 2876 4314 6471 8628 12942 19413 25884 38826 58239 77652 116478 232956