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252936 = 23331171
BaseRepresentation
bin111101110000001000
3110211222000
4331300020
531043221
65231000
72102265
oct756010
9424860
10252936
11163042
12102460
138b188
146826c
154ee26
hex3dc08

252936 has 32 divisors (see below), whose sum is σ = 703200. Its totient is φ = 84240.

The previous prime is 252919. The next prime is 252937. The reversal of 252936 is 639252.

252936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (252937) by changing a digit.

252936 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 7 ways as a sum of consecutive naturals, for example, 370 + ... + 801.

It is an arithmetic number, because the mean of its divisors is an integer number (21975).

2252936 is an apocalyptic number.

It is an amenable number.

252936 is an abundant number, since it is smaller than the sum of its proper divisors (450264).

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

252936 is a wasteful number, since it uses less digits than its factorization.

252936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1176 counting only the distinct ones).

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

The square root of 252936 is about 502.9274301527. The cubic root of 252936 is about 63.2417019011.

The spelling of 252936 in words is "two hundred fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1171 2342 3513 4684 7026 9368 10539 14052 21078 28104 31617 42156 63234 84312 126468 252936