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252065632 = 2571386561
BaseRepresentation
bin11110000011000…
…11011101100000
3122120022021001011
433001203131200
51004012100012
641002350304
76150344140
oct1701433540
9576267034
10252065632
1111a314705
12704bb394
13402b6980
1425696920
15171e11a7
hexf063760

252065632 has 48 divisors (see below), whose sum is σ = 610781472. Its totient is φ = 99717120.

The previous prime is 252065587. The next prime is 252065633. The reversal of 252065632 is 236560252.

252065632 is digitally balanced in base 3, 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 = 252065594 and 252065603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252065633) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40369 + ... + 46192.

It is an arithmetic number, because the mean of its divisors is an integer number (12724614).

Almost surely, 2252065632 is an apocalyptic number.

It is an amenable number.

252065632 is an abundant number, since it is smaller than the sum of its proper divisors (358715840).

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

252065632 is a wasteful number, since it uses less digits than its factorization.

252065632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86591 (or 86583 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 252065632 is about 15876.5749454975. The cubic root of 252065632 is about 631.6907903647.

The spelling of 252065632 in words is "two hundred fifty-two million, sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 86561 173122 346244 605927 692488 1125293 1211854 1384976 2250586 2423708 2769952 4501172 4847416 7877051 9002344 9694832 15754102 18004688 19389664 31508204 36009376 63016408 126032816 252065632