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252173088 = 2534271359
BaseRepresentation
bin11110000011111…
…01101100100000
3122120111201110000
433001331230200
51004024014323
641004540000
76151302336
oct1701755440
9576451400
10252173088
1111a388412
1270551600
134032385b
14256c3b56
1517212e43
hexf07db20

252173088 has 120 divisors (see below), whose sum is σ = 746444160. Its totient is φ = 83514240.

The previous prime is 252173071. The next prime is 252173123. The reversal of 252173088 is 880371252.

252173088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2521730882 = 127182532622911488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702253 + ... + 702611.

It is an arithmetic number, because the mean of its divisors is an integer number (6220368).

Almost surely, 2252173088 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 252173088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373222080).

252173088 is an abundant number, since it is smaller than the sum of its proper divisors (494271072).

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

252173088 is a wasteful number, since it uses less digits than its factorization.

252173088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 252173088 is about 15879.9586901226. The cubic root of 252173088 is about 631.7805412253.

The spelling of 252173088 in words is "two hundred fifty-two million, one hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 271 288 324 359 432 542 648 718 813 864 1077 1084 1296 1436 1626 2154 2168 2439 2592 2872 3231 3252 4308 4336 4878 5744 6462 6504 7317 8616 8672 9693 9756 11488 12924 13008 14634 17232 19386 19512 21951 25848 26016 29079 29268 34464 38772 39024 43902 51696 58158 58536 77544 78048 87804 97289 103392 116316 117072 155088 175608 194578 232632 234144 291867 310176 351216 389156 465264 583734 702432 778312 875601 930528 1167468 1556624 1751202 2334936 2626803 3113248 3502404 4669872 5253606 7004808 7880409 9339744 10507212 14009616 15760818 21014424 28019232 31521636 42028848 63043272 84057696 126086544 252173088