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252752448 = 26313131773
BaseRepresentation
bin11110001000010…
…11001001000000
3122121121011011210
433010023021000
51004201034243
641025210120
76156234414
oct1704131100
9577534153
10252752448
1111a743723
1270790940
1340497480
14257d4d44
15172c9933
hexf10b240

252752448 has 112 divisors (see below), whose sum is σ = 726618816. Its totient is φ = 77076480.

The previous prime is 252752443. The next prime is 252752471. The reversal of 252752448 is 844257252.

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

It is not an unprimeable number, because it can be changed into a prime (252752443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326590 + ... + 327362.

It is an arithmetic number, because the mean of its divisors is an integer number (6487668).

Almost surely, 2252752448 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 252752448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363309408).

252752448 is an abundant number, since it is smaller than the sum of its proper divisors (473866368).

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

252752448 is a wasteful number, since it uses less digits than its factorization.

252752448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its digits is 179200, while the sum is 39.

The square root of 252752448 is about 15898.1900856670. The cubic root of 252752448 is about 632.2640033604.

The spelling of 252752448 in words is "two hundred fifty-two million, seven hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 131 156 192 208 262 312 393 416 524 624 773 786 832 1048 1248 1546 1572 1703 2096 2319 2496 3092 3144 3406 4192 4638 5109 6184 6288 6812 8384 9276 10049 10218 12368 12576 13624 18552 20098 20436 24736 25152 27248 30147 37104 40196 40872 49472 54496 60294 74208 80392 81744 101263 108992 120588 148416 160784 163488 202526 241176 303789 321568 326976 405052 482352 607578 643136 810104 964704 1215156 1316419 1620208 1929408 2430312 2632838 3240416 3949257 4860624 5265676 6480832 7898514 9721248 10531352 15797028 19442496 21062704 31594056 42125408 63188112 84250816 126376224 252752448