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252437024 = 2573109211
BaseRepresentation
bin11110000101111…
…10001000100000
3122121000010111102
433002332020200
51004110441044
641014333532
76153452000
oct1702761040
9577003442
10252437024
1111a548744
127065a2a8
13403b6a28
1425752000
151726624e
hexf0be220

252437024 has 96 divisors (see below), whose sum is σ = 587664000. Its totient is φ = 106686720.

The previous prime is 252436997. The next prime is 252437069. The reversal of 252437024 is 420734252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196279 + ... + 1196489.

It is an arithmetic number, because the mean of its divisors is an integer number (6121500).

Almost surely, 2252437024 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 252437024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293832000).

252437024 is an abundant number, since it is smaller than the sum of its proper divisors (335226976).

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

252437024 is a wasteful number, since it uses less digits than its factorization.

252437024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 252437024 is about 15888.2668658353. The cubic root of 252437024 is about 632.0008812678. Note that the first 3 decimals are identical.

The spelling of 252437024 in words is "two hundred fifty-two million, four hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 109 112 196 211 218 224 343 392 422 436 686 763 784 844 872 1372 1477 1526 1568 1688 1744 2744 2954 3052 3376 3488 5341 5488 5908 6104 6752 10339 10682 10976 11816 12208 20678 21364 22999 23632 24416 37387 41356 42728 45998 47264 72373 74774 82712 85456 91996 144746 149548 160993 165424 170912 183992 289492 299096 321986 330848 367984 578984 598192 643972 735968 1126951 1157968 1196384 1287944 2253902 2315936 2575888 4507804 5151776 7888657 9015608 15777314 18031216 31554628 36062432 63109256 126218512 252437024