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252777252 = 223713231481
BaseRepresentation
bin11110001000100…
…01001100100100
3122121122102012110
433010101030210
51004202333002
641025521020
76156366630
oct1704211444
9577572173
10252777252
1111a760322
12707a3170
13404a5850
14257dddc0
15172d1e6c
hexf111324

252777252 has 48 divisors (see below), whose sum is σ = 725927552. Its totient is φ = 66666240.

The previous prime is 252777227. The next prime is 252777269.

252777252 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 252777252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114649 + ... + 116832.

Almost surely, 2252777252 is an apocalyptic number.

It is an amenable number.

252777252 is an abundant number, since it is smaller than the sum of its proper divisors (473150300).

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

252777252 is a wasteful number, since it uses less digits than its factorization.

252777252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231508 (or 231506 counting only the distinct ones).

The product of its digits is 137200, while the sum is 39.

The square root of 252777252 is about 15898.9701553277. The cubic root of 252777252 is about 632.2846852087.

The spelling of 252777252 in words is "two hundred fifty-two million, seven hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 231481 462962 694443 925924 1388886 1620367 2777772 3009253 3240734 4861101 6018506 6481468 9027759 9722202 12037012 18055518 19444404 21064771 36111036 42129542 63194313 84259084 126388626 252777252