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252989730 = 23557107139
BaseRepresentation
bin11110001010001…
…01000100100010
3122122001012200000
433011011010202
51004231132410
641034240430
76161243250
oct1705050442
9578035600
10252989730
1111a895a24
1270886116
134054b486
14258575d0
1517324dc0
hexf145122

252989730 has 192 divisors, whose sum is σ = 792529920. Its totient is φ = 56873664.

The previous prime is 252989717. The next prime is 252989741. The reversal of 252989730 is 37989252.

252989730 is a `hidden beast` number, since 2 + 529 + 8 + 97 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1820001 + ... + 1820139.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2252989730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252989730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

252989730 is an abundant number, since it is smaller than the sum of its proper divisors (539540190).

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

252989730 is a wasteful number, since it uses less digits than its factorization.

252989730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 252989730 is about 15905.6508826266. The cubic root of 252989730 is about 632.4617962937.

The spelling of 252989730 in words is "two hundred fifty-two million, nine hundred eighty-nine thousand, seven hundred thirty".