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252058864 = 24172192151
BaseRepresentation
bin11110000011000…
…01110011110000
3122120021220202111
433001201303300
51004011340424
641002255104
76150315331
oct1701416360
9576256674
10252058864
1111a30a612
12704b7494
13402b3875
1425694288
15171de194
hexf061cf0

252058864 has 90 divisors (see below), whose sum is σ = 551148504. Its totient is φ = 111628800.

The previous prime is 252058843. The next prime is 252058879. The reversal of 252058864 is 468850252.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1669189 + ... + 1669339.

Almost surely, 2252058864 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 252058864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275574252).

252058864 is an abundant number, since it is smaller than the sum of its proper divisors (299089640).

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

252058864 is a wasteful number, since it uses less digits than its factorization.

252058864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 252058864 is about 15876.3617998583. The cubic root of 252058864 is about 631.6851366499.

The spelling of 252058864 in words is "two hundred fifty-two million, fifty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 151 152 272 289 302 304 323 361 578 604 646 722 1156 1208 1292 1444 2312 2416 2567 2584 2869 2888 4624 5134 5168 5491 5738 5776 6137 10268 10982 11476 12274 20536 21964 22952 24548 41072 43639 43928 45904 48773 49096 54511 87278 87856 97546 98192 104329 109022 174556 195092 208658 218044 349112 390184 417316 436088 698224 780368 829141 834632 872176 926687 1658282 1669264 1853374 3316564 3706748 6633128 7413496 13266256 14826992 15753679 31507358 63014716 126029432 252058864