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264252 = 22319261
BaseRepresentation
bin1000000100000111100
3111102111010
41000200330
531424002
65355220
72150262
oct1004074
9442433
10264252
1117059a
12108b10
1393381
146c432
155346c
hex4083c

264252 has 36 divisors (see below), whose sum is σ = 661416. Its totient is φ = 82080.

The previous prime is 264221. The next prime is 264263. The reversal of 264252 is 252462.

It is a congruent number.

It is an unprimeable number.

264252 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 11 ways as a sum of consecutive naturals, for example, 4302 + ... + 4362.

2264252 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 264252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330708).

264252 is an abundant number, since it is smaller than the sum of its proper divisors (397164).

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

264252 is a wasteful number, since it uses less digits than its factorization.

264252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 264252 is about 514.0544718218. The cubic root of 264252 is about 64.1710916909.

It can be divided in two parts, 26 and 4252, that added together give a triangular number (4278 = T92).

The spelling of 264252 in words is "two hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 228 244 361 366 722 732 1083 1159 1444 2166 2318 3477 4332 4636 6954 13908 22021 44042 66063 88084 132126 264252