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252958636 = 227311132579
BaseRepresentation
bin11110001001111…
…01011110101100
3122121222122000101
433010331132230
51004224134021
641033440444
76161053510
oct1704753654
9577878011
10252958636
1111a874627
1270870124
134053a288
142584a140
151731aa91
hexf13d7ac

252958636 has 48 divisors (see below), whose sum is σ = 527063040. Its totient is φ = 103944960.

The previous prime is 252958633. The next prime is 252958639. The reversal of 252958636 is 636859252.

It is an interprime number because it is at equal distance from previous prime (252958633) and next prime (252958639).

It is not an unprimeable number, because it can be changed into a prime (252958631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96795 + ... + 99373.

It is an arithmetic number, because the mean of its divisors is an integer number (10980480).

Almost surely, 2252958636 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 252958636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263531520).

252958636 is an abundant number, since it is smaller than the sum of its proper divisors (274104404).

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

252958636 is a wasteful number, since it uses less digits than its factorization.

252958636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2732 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The square root of 252958636 is about 15904.6734012365. The cubic root of 252958636 is about 632.4358840787.

The spelling of 252958636 in words is "two hundred fifty-two million, nine hundred fifty-eight thousand, six hundred thirty-six".

Divisors: 1 2 4 7 14 28 31 62 113 124 217 226 434 452 791 868 1582 2579 3164 3503 5158 7006 10316 14012 18053 24521 36106 49042 72212 79949 98084 159898 291427 319796 559643 582854 1119286 1165708 2039989 2238572 4079978 8159956 9034237 18068474 36136948 63239659 126479318 252958636