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252969144 = 23310540381
BaseRepresentation
bin11110001010000…
…00000010111000
3122122000011102120
433011000002320
51004230003034
641034001240
76161126241
oct1705000270
9578004376
10252969144
1111a88150a
1270876220
1340541cac
142584dcc8
151731dc49
hexf1400b8

252969144 has 16 divisors (see below), whose sum is σ = 632422920. Its totient is φ = 84323040.

The previous prime is 252969131. The next prime is 252969149. The reversal of 252969144 is 441969252.

252969144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 252969096 and 252969105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252969149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5270167 + ... + 5270214.

Almost surely, 2252969144 is an apocalyptic number.

252969144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252969144 is an abundant number, since it is smaller than the sum of its proper divisors (379453776).

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

252969144 is a wasteful number, since it uses less digits than its factorization.

252969144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540390 (or 10540386 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 252969144 is about 15905.0037409615. The cubic root of 252969144 is about 632.4446411682. Note that the first 3 decimals are identical.

The spelling of 252969144 in words is "two hundred fifty-two million, nine hundred sixty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 10540381 21080762 31621143 42161524 63242286 84323048 126484572 252969144