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252718592 = 297107659
BaseRepresentation
bin11110001000000…
…10111000000000
3122121112102201212
433010002320000
51004143443332
641024345252
76156033620
oct1704027000
9577472655
10252718592
1111a720245
1270775228
1340484c39
14257c6880
15172be8b2
hexf102e00

252718592 has 80 divisors (see below), whose sum is σ = 583355520. Its totient is φ = 107132928.

The previous prime is 252718589. The next prime is 252718633. The reversal of 252718592 is 295817252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383159 + ... + 383817.

It is an arithmetic number, because the mean of its divisors is an integer number (7291944).

Almost surely, 2252718592 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 252718592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

252718592 is an abundant number, since it is smaller than the sum of its proper divisors (330636928).

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

252718592 is an equidigital number, since it uses as much as digits as its factorization.

252718592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its digits is 100800, while the sum is 41.

The square root of 252718592 is about 15897.1252747156. The cubic root of 252718592 is about 632.2357716708.

The spelling of 252718592 in words is "two hundred fifty-two million, seven hundred eighteen thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 128 214 224 256 428 448 512 659 749 856 896 1318 1498 1712 1792 2636 2996 3424 3584 4613 5272 5992 6848 9226 10544 11984 13696 18452 21088 23968 27392 36904 42176 47936 54784 70513 73808 84352 95872 141026 147616 168704 191744 282052 295232 337408 383488 493591 564104 590464 987182 1128208 1180928 1974364 2256416 2361856 3948728 4512832 7897456 9025664 15794912 18051328 31589824 36102656 63179648 126359296 252718592