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253596368 = 2431216493
BaseRepresentation
bin11110001110110…
…01001011010000
3122200012000211002
433013121023100
51004410040433
641055241132
76166351004
oct1707311320
9580160732
10253596368
1112016a783
1270b191a8
134070162c
1425974704
15173e49e8
hexf1d92d0

253596368 has 30 divisors (see below), whose sum is σ = 507734802. Its totient is φ = 122700480.

The previous prime is 253596353. The next prime is 253596383. The reversal of 253596368 is 863695352.

253596368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253596353) and next prime (253596383).

It can be written as a sum of positive squares in only one way, i.e., 147671104 + 105925264 = 12152^2 + 10292^2 .

It is a super-2 number, since 2×2535963682 = 128622235725582848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7130 + ... + 23622.

Almost surely, 2253596368 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 253596368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253867401).

253596368 is an abundant number, since it is smaller than the sum of its proper divisors (254138434).

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

253596368 is a wasteful number, since it uses less digits than its factorization.

253596368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16563 (or 16526 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 47.

The square root of 253596368 is about 15924.7093537056. The cubic root of 253596368 is about 632.9669144243.

The spelling of 253596368 in words is "two hundred fifty-three million, five hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 16493 32986 65972 131944 263888 511283 1022566 2045132 4090264 8180528 15849773 31699546 63399092 126798184 253596368