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252408 = 23313809
BaseRepresentation
bin111101100111111000
3110211020110
4331213320
531034113
65224320
72100612
oct754770
9424213
10252408
11162702
121020a0
138ab70
1467db2
154ebc3
hex3d9f8

252408 has 32 divisors (see below), whose sum is σ = 680400. Its totient is φ = 77568.

The previous prime is 252401. The next prime is 252409. The reversal of 252408 is 804252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252401) 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, 93 + ... + 716.

2252408 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 252408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

252408 is an abundant number, since it is smaller than the sum of its proper divisors (427992).

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

252408 is a wasteful number, since it uses less digits than its factorization.

252408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252408 is about 502.4022292944. The cubic root of 252408 is about 63.1976658861.

The spelling of 252408 in words is "two hundred fifty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 809 1618 2427 3236 4854 6472 9708 10517 19416 21034 31551 42068 63102 84136 126204 252408