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252954 = 232132347
BaseRepresentation
bin111101110000011010
3110211222200
4331300122
531043304
65231030
72102322
oct756032
9424880
10252954
11163059
12102476
138b1a0
1468282
154ee39
hex3dc1a

252954 has 48 divisors (see below), whose sum is σ = 628992. Its totient is φ = 72864.

The previous prime is 252949. The next prime is 252971. The reversal of 252954 is 459252.

It is a super-2 number, since 2×2529542 = 127971452232, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252954.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5359 + ... + 5405.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2252954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496).

252954 is an abundant number, since it is smaller than the sum of its proper divisors (376038).

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

252954 is a wasteful number, since it uses less digits than its factorization.

252954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 88 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 252954 is about 502.9453250603. The cubic root of 252954 is about 63.2432020482.

The spelling of 252954 in words is "two hundred fifty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 47 69 78 94 117 138 141 207 234 282 299 414 423 598 611 846 897 1081 1222 1794 1833 2162 2691 3243 3666 5382 5499 6486 9729 10998 14053 19458 28106 42159 84318 126477 252954