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252164328 = 233137691051
BaseRepresentation
bin11110000011110…
…11100011101000
3122120111021102120
433001323203220
51004023224303
641004431240
76151234653
oct1701734350
9576437376
10252164328
1111a381879
1270548520
134031c880
14256c089a
1517210553
hexf07b8e8

252164328 has 64 divisors (see below), whose sum is σ = 680433600. Its totient is φ = 77414400.

The previous prime is 252164327. The next prime is 252164399. The reversal of 252164328 is 823461252.

It is not an unprimeable number, because it can be changed into a prime (252164327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239403 + ... + 240453.

It is an arithmetic number, because the mean of its divisors is an integer number (10631775).

Almost surely, 2252164328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252164328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340216800).

252164328 is an abundant number, since it is smaller than the sum of its proper divisors (428269272).

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

252164328 is a wasteful number, since it uses less digits than its factorization.

252164328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 252164328 is about 15879.6828683699. The cubic root of 252164328 is about 631.7732255337.

The spelling of 252164328 in words is "two hundred fifty-two million, one hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 769 1051 1538 2102 2307 3076 3153 4204 4614 6152 6306 8408 9228 9997 12612 13663 18456 19994 25224 27326 29991 39988 40989 54652 59982 79976 81978 109304 119964 163956 239928 327912 808219 1616438 2424657 3232876 4849314 6465752 9698628 10506847 19397256 21013694 31520541 42027388 63041082 84054776 126082164 252164328