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252001944 = 23328342169
BaseRepresentation
bin11110000010100…
…11111010011000
3122120012000200100
433001103322120
51004003030234
641001135400
76146660355
oct1701237230
9576160610
10252001944
1111a280877
127048a560
134029399c
142567b62c
15171cc399
hexf053e98

252001944 has 48 divisors (see below), whose sum is σ = 690744600. Its totient is φ = 82986624.

The previous prime is 252001889. The next prime is 252001957. The reversal of 252001944 is 449100252.

252001944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15109 + ... + 27060.

Almost surely, 2252001944 is an apocalyptic number.

252001944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252001944 is an abundant number, since it is smaller than the sum of its proper divisors (438742656).

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

252001944 is a wasteful number, since it uses less digits than its factorization.

252001944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42264 (or 42257 counting only the distinct ones).

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

The square root of 252001944 is about 15874.5690965141. The cubic root of 252001944 is about 631.6375839682.

The spelling of 252001944 in words is "two hundred fifty-two million, one thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 42169 84338 126507 168676 253014 337352 379521 506028 759042 1012056 1518084 3036168 3500027 7000054 10500081 14000108 21000162 28000216 31500243 42000324 63000486 84000648 126000972 252001944