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253550088 = 23351171167
BaseRepresentation
bin11110001110011…
…01111000001000
3122200002200100000
433013031320020
51004402100323
641054243000
76166066041
oct1707157010
9580080300
10253550088
11120138a30
1270ab6460
13406b654c
14259618c8
15173d5e43
hexf1cde08

253550088 has 192 divisors, whose sum is σ = 792529920. Its totient is φ = 75297600.

The previous prime is 253550069. The next prime is 253550093. The reversal of 253550088 is 880055352.

253550088 is a `hidden beast` number, since 25 + 3 + 550 + 0 + 88 = 666.

253550088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518181 + ... + 1518347.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2253550088 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 253550088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

253550088 is an abundant number, since it is smaller than the sum of its proper divisors (538979832).

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

253550088 is a wasteful number, since it uses less digits than its factorization.

253550088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 253550088 is about 15923.2561996597. The cubic root of 253550088 is about 632.9284077070.

The spelling of 253550088 in words is "two hundred fifty-three million, five hundred fifty thousand, eighty-eight".