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252525024 = 2532876823
BaseRepresentation
bin11110000110100…
…11100111100000
3122121011121012200
433003103213200
51004121300044
641020253200
76154266363
oct1703234740
9577147180
10252525024
1111a5a8874
12706a1200
1340417abb
14257760da
1517282369
hexf0d39e0

252525024 has 36 divisors (see below), whose sum is σ = 718118856. Its totient is φ = 84174912.

The previous prime is 252524983. The next prime is 252525059. The reversal of 252525024 is 420525252.

252525024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 438124 + ... + 438699.

It is an arithmetic number, because the mean of its divisors is an integer number (19947746).

Almost surely, 2252525024 is an apocalyptic number.

252525024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252525024 is an abundant number, since it is smaller than the sum of its proper divisors (465593832).

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

252525024 is a wasteful number, since it uses less digits than its factorization.

252525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876839 (or 876828 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 252525024 is about 15891.0359637124. The cubic root of 252525024 is about 632.0743116166.

It can be divided in two parts, 25252 and 5024, that added together give a square (30276 = 1742).

The spelling of 252525024 in words is "two hundred fifty-two million, five hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 876823 1753646 2630469 3507292 5260938 7014584 7891407 10521876 14029168 15782814 21043752 28058336 31565628 42087504 63131256 84175008 126262512 252525024