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252525132 = 223231713187
BaseRepresentation
bin11110000110100…
…11101001001100
3122121011121100200
433003103221030
51004121301012
641020253500
76154266606
oct1703235114
9577147320
10252525132
1111a5a8962
12706a1290
1340417b72
1425776176
15172823dc
hexf0d3a4c

252525132 has 72 divisors (see below), whose sum is σ = 668408832. Its totient is φ = 80287200.

The previous prime is 252525131. The next prime is 252525137. The reversal of 252525132 is 231525252.

252525132 is a `hidden beast` number, since 2 + 5 + 2 + 525 + 132 = 666.

252525132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252525096 and 252525105.

It is not an unprimeable number, because it can be changed into a prime (252525131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77643 + ... + 80829.

It is an arithmetic number, because the mean of its divisors is an integer number (9283456).

Almost surely, 2252525132 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 252525132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334204416).

252525132 is an abundant number, since it is smaller than the sum of its proper divisors (415883700).

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

252525132 is a wasteful number, since it uses less digits than its factorization.

252525132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3294 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 252525132 is about 15891.0393618542. The cubic root of 252525132 is about 632.0744017252.

The spelling of 252525132 in words is "two hundred fifty-two million, five hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 71 93 124 142 186 213 279 284 372 426 558 639 852 1116 1278 2201 2556 3187 4402 6374 6603 8804 9561 12748 13206 19122 19809 26412 28683 38244 39618 57366 79236 98797 114732 197594 226277 296391 395188 452554 592782 678831 889173 905108 1185564 1357662 1778346 2036493 2715324 3556692 4072986 7014587 8145972 14029174 21043761 28058348 42087522 63131283 84175044 126262566 252525132