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253743144 = 23338927179
BaseRepresentation
bin11110001111111…
…01000000101000
3122200110111011020
433013331000220
51004424240034
641102332440
76200531634
oct1707750050
9580414136
10253743144
1112025aa86
1270b8a120
1340753395
14259b1dc4
1517423249
hexf1fd028

253743144 has 32 divisors (see below), whose sum is σ = 636012000. Its totient is φ = 84360512.

The previous prime is 253743143. The next prime is 253743163. The reversal of 253743144 is 441347352.

253743144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253743143) 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, 4254 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (19875375).

Almost surely, 2253743144 is an apocalyptic number.

253743144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253743144 is an abundant number, since it is smaller than the sum of its proper divisors (382268856).

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

253743144 is a wasteful number, since it uses less digits than its factorization.

253743144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27577 (or 27573 counting only the distinct ones).

The product of its digits is 40320, while the sum is 33.

The square root of 253743144 is about 15929.3171228399. The cubic root of 253743144 is about 633.0890066486.

The spelling of 253743144 in words is "two hundred fifty-three million, seven hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 389 778 1167 1556 2334 3112 4668 9336 27179 54358 81537 108716 163074 217432 326148 652296 10572631 21145262 31717893 42290524 63435786 84581048 126871572 253743144