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96252 = 22313617
BaseRepresentation
bin10111011111111100
311220000220
4113133330
511040002
62021340
7550422
oct273774
9156026
1096252
1166352
1247850
1334a70
1427112
151d7bc
hex177fc

96252 has 24 divisors (see below), whose sum is σ = 242256. Its totient is φ = 29568.

The previous prime is 96233. The next prime is 96259. The reversal of 96252 is 25269.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 96252.

It is not an unprimeable number, because it can be changed into a prime (96259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (10094).

296252 is an apocalyptic number.

It is an amenable number.

96252 is an abundant number, since it is smaller than the sum of its proper divisors (146004).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121128).

96252 is a wasteful number, since it uses less digits than its factorization.

96252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 635 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 96252 is about 310.2450644249. The cubic root of 96252 is about 45.8285996948.

The spelling of 96252 in words is "ninety-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 617 1234 1851 2468 3702 7404 8021 16042 24063 32084 48126 96252