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252408042 = 2334674223
BaseRepresentation
bin11110000101101…
…11000011101010
3122120221122202000
433002313003222
51004104024132
641013551430
76153301335
oct1702670352
9576848660
10252408042
1111a528997
1270645576
13403a6793
142574561c
151725c87c
hexf0b70ea

252408042 has 16 divisors (see below), whose sum is σ = 560906880. Its totient is φ = 84135996.

The previous prime is 252408031. The next prime is 252408047. The reversal of 252408042 is 240804252.

It is a happy number.

252408042 is a `hidden beast` number, since 252 + 408 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 252407997 and 252408015.

It is not an unprimeable number, because it can be changed into a prime (252408047) 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, 2337058 + ... + 2337165.

It is an arithmetic number, because the mean of its divisors is an integer number (35056680).

Almost surely, 2252408042 is an apocalyptic number.

252408042 is an abundant number, since it is smaller than the sum of its proper divisors (308498838).

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

252408042 is a wasteful number, since it uses less digits than its factorization.

252408042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674234 (or 4674228 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 252408042 is about 15887.3547829713. The cubic root of 252408042 is about 631.9766939144.

The spelling of 252408042 in words is "two hundred fifty-two million, four hundred eight thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 4674223 9348446 14022669 28045338 42068007 84136014 126204021 252408042