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252844944 = 243111721657
BaseRepresentation
bin11110001001000…
…01101110010000
3122121202212001120
433010201232100
51004212014234
641031202240
76160101162
oct1704415620
9577685046
10252844944
1111a7a7170
1270816380
13404ca5c1
142581a932
15172e7049
hexf121b90

252844944 has 120 divisors (see below), whose sum is σ = 757400928. Its totient is φ = 72069120.

The previous prime is 252844937. The next prime is 252844979. The reversal of 252844944 is 449448252.

It is a junction number, because it is equal to n+sod(n) for n = 252844896 and 252844905.

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, 151764 + ... + 153420.

Almost surely, 2252844944 is an apocalyptic number.

252844944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252844944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378700464).

252844944 is an abundant number, since it is smaller than the sum of its proper divisors (504555984).

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

252844944 is a wasteful number, since it uses less digits than its factorization.

252844944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1690 counting only the distinct ones).

The product of its digits is 368640, while the sum is 42.

The square root of 252844944 is about 15901.0988299551. The cubic root of 252844944 is about 632.3411206600.

The spelling of 252844944 in words is "two hundred fifty-two million, eight hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 289 374 408 528 561 578 748 816 867 1122 1156 1496 1657 1734 2244 2312 2992 3179 3314 3468 4488 4624 4971 6358 6628 6936 8976 9537 9942 12716 13256 13872 18227 19074 19884 25432 26512 28169 36454 38148 39768 50864 54681 56338 72908 76296 79536 84507 109362 112676 145816 152592 169014 218724 225352 291632 309859 338028 437448 450704 478873 619718 676056 874896 929577 957746 1239436 1352112 1436619 1859154 1915492 2478872 2873238 3718308 3830984 4957744 5267603 5746476 7436616 7661968 10535206 11492952 14873232 15802809 21070412 22985904 31605618 42140824 63211236 84281648 126422472 252844944