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252721392 = 243711101677
BaseRepresentation
bin11110001000000…
…11100011110000
3122121112120120120
433010003203300
51004144041032
641024410240
76156045030
oct1704034360
9577476516
10252721392
1111a722360
1270776980
13404862b1
14257c78c0
15172c062c
hexf1038f0

252721392 has 160 divisors (see below), whose sum is σ = 823233024. Its totient is φ = 64896000.

The previous prime is 252721351. The next prime is 252721409. The reversal of 252721392 is 293127252.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372958 + ... + 373634.

Almost surely, 2252721392 is an apocalyptic number.

252721392 is a gapful number since it is divisible by the number (22) 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 252721392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411616512).

252721392 is an abundant number, since it is smaller than the sum of its proper divisors (570511632).

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

252721392 is a wasteful number, since it uses less digits than its factorization.

252721392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 801 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 252721392 is about 15897.2133407085. The cubic root of 252721392 is about 632.2381066179.

The spelling of 252721392 in words is "two hundred fifty-two million, seven hundred twenty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 101 112 132 154 168 176 202 231 264 303 308 336 404 462 528 606 616 677 707 808 924 1111 1212 1232 1354 1414 1616 1848 2031 2121 2222 2424 2708 2828 3333 3696 4062 4242 4444 4739 4848 5416 5656 6666 7447 7777 8124 8484 8888 9478 10832 11312 13332 14217 14894 15554 16248 16968 17776 18956 22341 23331 26664 28434 29788 31108 32496 33936 37912 44682 46662 52129 53328 56868 59576 62216 68377 75824 89364 93324 104258 113736 119152 124432 136754 156387 178728 186648 205131 208516 227472 273508 312774 357456 373296 410262 417032 478639 547016 625548 752147 820524 834064 957278 1094032 1251096 1435917 1504294 1641048 1914556 2256441 2502192 2871834 3008588 3282096 3829112 4512882 5265029 5743668 6017176 7658224 9025764 10530058 11487336 12034352 15795087 18051528 21060116 22974672 31590174 36103056 42120232 63180348 84240464 126360696 252721392