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252707168 = 2572235059
BaseRepresentation
bin11110001000000…
…00000101100000
3122121111212001202
433010000011200
51004143112133
641024220332
76155655410
oct1704000540
9577455052
10252707168
1111a7126aa
127076a6a8
134047c98c
14257c2640
15172bb2e8
hexf100160

252707168 has 48 divisors (see below), whose sum is σ = 571253760. Its totient is φ = 107796096.

The previous prime is 252707167. The next prime is 252707197. The reversal of 252707168 is 861707252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252707167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47423 + ... + 52481.

It is an arithmetic number, because the mean of its divisors is an integer number (11901120).

Almost surely, 2252707168 is an apocalyptic number.

252707168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285626880).

252707168 is an abundant number, since it is smaller than the sum of its proper divisors (318546592).

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

252707168 is a wasteful number, since it uses less digits than its factorization.

252707168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 252707168 is about 15896.7659604084. The cubic root of 252707168 is about 632.2262449079.

The spelling of 252707168 in words is "two hundred fifty-two million, seven hundred seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 223 224 446 892 1561 1784 3122 3568 5059 6244 7136 10118 12488 20236 24976 35413 40472 49952 70826 80944 141652 161888 283304 566608 1128157 1133216 2256314 4512628 7897099 9025256 15794198 18050512 31588396 36101024 63176792 126353584 252707168