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252003681 = 32311914729
BaseRepresentation
bin11110000010101…
…00010101100001
3122120012010001200
433001110111201
51004003104211
641001151413
76146665416
oct1701242541
9576163050
10252003681
1111a282106
127048b569
1340294707
142567c10d
15171ccb56
hexf054561

252003681 has 24 divisors (see below), whose sum is σ = 377794560. Its totient is φ = 161697600.

The previous prime is 252003677. The next prime is 252003701. The reversal of 252003681 is 186300252.

It is not a de Polignac number, because 252003681 - 22 = 252003677 is a prime.

It is a super-2 number, since 2×2520036812 = 127011710475099522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252003641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50925 + ... + 55653.

It is an arithmetic number, because the mean of its divisors is an integer number (15741440).

Almost surely, 2252003681 is an apocalyptic number.

It is an amenable number.

252003681 is a deficient number, since it is larger than the sum of its proper divisors (125790879).

252003681 is a wasteful number, since it uses less digits than its factorization.

252003681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 252003681 is about 15874.6238065663. The cubic root of 252003681 is about 631.6390352162.

The spelling of 252003681 in words is "two hundred fifty-two million, three thousand, six hundred eighty-one".

Divisors: 1 3 9 31 93 191 279 573 1719 4729 5921 14187 17763 42561 53289 146599 439797 903239 1319391 2709717 8129151 28000409 84001227 252003681