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253556056 = 23131012239
BaseRepresentation
bin11110001110011…
…11010101011000
3122200002222112001
433013033111120
51004402243211
641054330344
76166122325
oct1707172530
9580088461
10253556056
11120142466
1270ab99b4
13406b9190
1425963b4c
15173d7ac1
hexf1cf558

253556056 has 48 divisors (see below), whose sum is σ = 519271200. Its totient is φ = 115382400.

The previous prime is 253556053. The next prime is 253556059. The reversal of 253556056 is 650655352.

It is an interprime number because it is at equal distance from previous prime (253556053) and next prime (253556059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253556053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060785 + ... + 1061023.

It is an arithmetic number, because the mean of its divisors is an integer number (10818150).

Almost surely, 2253556056 is an apocalyptic number.

253556056 is a gapful number since it is divisible by the number (26) 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 253556056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259635600).

253556056 is an abundant number, since it is smaller than the sum of its proper divisors (265715144).

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

253556056 is a wasteful number, since it uses less digits than its factorization.

253556056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 37.

The square root of 253556056 is about 15923.4435974132. The cubic root of 253556056 is about 632.9333735728.

The spelling of 253556056 in words is "two hundred fifty-three million, five hundred fifty-six thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 101 104 202 239 404 478 808 956 1313 1912 2626 3107 5252 6214 10201 10504 12428 20402 24139 24856 40804 48278 81608 96556 132613 193112 265226 313807 530452 627614 1060904 1255228 2438039 2510456 4876078 9752156 19504312 31694507 63389014 126778028 253556056