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252665712 = 243213711901
BaseRepresentation
bin11110000111101…
…01111101110000
3122121102202012100
433003311331300
51004140300322
641023300400
76155423505
oct1703657560
9577382170
10252665712
1111a694542
127074a700
1340466b50
14257b14ac
15172addac
hexf0f5f70

252665712 has 120 divisors (see below), whose sum is σ = 772638048. Its totient is φ = 76608000.

The previous prime is 252665701. The next prime is 252665729. The reversal of 252665712 is 217566252.

252665712 is a `hidden beast` number, since 2 + 526 + 65 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131962 + ... + 133862.

Almost surely, 2252665712 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 252665712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386319024).

252665712 is an abundant number, since it is smaller than the sum of its proper divisors (519972336).

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

252665712 is a wasteful number, since it uses less digits than its factorization.

252665712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1990 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 252665712 is about 15895.4619939151. The cubic root of 252665712 is about 632.1916712883.

The spelling of 252665712 in words is "two hundred fifty-two million, six hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 71 72 78 104 117 142 144 156 208 213 234 284 312 426 468 568 624 639 852 923 936 1136 1278 1704 1846 1872 1901 2556 2769 3408 3692 3802 5112 5538 5703 7384 7604 8307 10224 11076 11406 14768 15208 16614 17109 22152 22812 24713 30416 33228 34218 44304 45624 49426 66456 68436 74139 91248 98852 132912 134971 136872 148278 197704 222417 269942 273744 296556 395408 404913 444834 539884 593112 809826 889668 1079768 1186224 1214739 1619652 1754623 1779336 2159536 2429478 3239304 3509246 3558672 4858956 5263869 6478608 7018492 9717912 10527738 14036984 15791607 19435824 21055476 28073968 31583214 42110952 63166428 84221904 126332856 252665712