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252604632 = 233717241367
BaseRepresentation
bin11110000111001…
…11000011011000
3122121022122102010
433003213003120
51004131322012
641022105520
76155050440
oct1703470330
9577278363
10252604632
1111a652665
127071b2a0
13404450c7
1425797120
151729ac3c
hexf0e70d8

252604632 has 128 divisors (see below), whose sum is σ = 769443840. Its totient is φ = 67461120.

The previous prime is 252604619. The next prime is 252604663. The reversal of 252604632 is 236406252.

252604632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 252604632.

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, 688113 + ... + 688479.

It is an arithmetic number, because the mean of its divisors is an integer number (6011280).

Almost surely, 2252604632 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 252604632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384721920).

252604632 is an abundant number, since it is smaller than the sum of its proper divisors (516839208).

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

252604632 is a wasteful number, since it uses less digits than its factorization.

252604632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 252604632 is about 15893.5405747115. The cubic root of 252604632 is about 632.1407246851.

It can be divided in two parts, 25260 and 4632, that added together give a palindrome (29892).

The spelling of 252604632 in words is "two hundred fifty-two million, six hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 241 357 367 408 476 482 714 723 734 952 964 1101 1428 1446 1468 1687 1928 2202 2569 2856 2892 2936 3374 4097 4404 5061 5138 5784 6239 6748 7707 8194 8808 10122 10276 12291 12478 13496 15414 16388 18717 20244 20552 24582 24956 28679 30828 32776 37434 40488 43673 49164 49912 57358 61656 74868 86037 87346 88447 98328 114716 131019 149736 172074 174692 176894 229432 262038 265341 344148 349384 353788 524076 530682 619129 688296 707576 1048152 1061364 1238258 1503599 1857387 2122728 2476516 3007198 3714774 4510797 4953032 6014396 7429548 9021594 10525193 12028792 14859096 18043188 21050386 31575579 36086376 42100772 63151158 84201544 126302316 252604632