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252610332 = 223137122807
BaseRepresentation
bin11110000111010…
…00011100011100
3122121022221020020
433003220130130
51004132012312
641022152140
76155103162
oct1703503434
9577287206
10252610332
1111a656977
1270722650
1340447890
1425799232
151729c78c
hexf0e871c

252610332 has 48 divisors (see below), whose sum is σ = 643732992. Its totient is φ = 76628160.

The previous prime is 252610273. The next prime is 252610343. The reversal of 252610332 is 233016252.

252610332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328 + ... + 22479.

It is an arithmetic number, because the mean of its divisors is an integer number (13411104).

Almost surely, 2252610332 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 252610332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321866496).

252610332 is an abundant number, since it is smaller than the sum of its proper divisors (391122660).

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

252610332 is a wasteful number, since it uses less digits than its factorization.

252610332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22898 (or 22896 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 252610332 is about 15893.7198918315. The cubic root of 252610332 is about 632.1454793816.

Adding to 252610332 its reverse (233016252), we get a palindrome (485626584).

The spelling of 252610332 in words is "two hundred fifty-two million, six hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1846 2769 3692 5538 11076 22807 45614 68421 91228 136842 273684 296491 592982 889473 1185964 1619297 1778946 3238594 3557892 4857891 6477188 9715782 19431564 21050861 42101722 63152583 84203444 126305166 252610332