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82852252 = 2273737933
BaseRepresentation
bin1001111000000…
…11100110011100
312202220022220221
410330003212130
5132202233002
612115451124
72024142520
oct474034634
9182808827
1082852252
114284a13a
12238b6aa4
131421b702
14b009d80
157418c37
hex4f0399c

82852252 has 24 divisors (see below), whose sum is σ = 166169696. Its totient is φ = 35408448.

The previous prime is 82852249. The next prime is 82852261. The reversal of 82852252 is 25225828.

It is a super-4 number, since 4×828522524 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 6478 + ... + 14410.

Almost surely, 282852252 is an apocalyptic number.

It is an amenable number.

82852252 is an abundant number, since it is smaller than the sum of its proper divisors (83317444).

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

82852252 is a wasteful number, since it uses less digits than its factorization.

82852252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8315 counting only the distinct ones).

The product of its digits is 25600, while the sum is 34.

The square root of 82852252 is about 9102.3212424084. The cubic root of 82852252 is about 435.9480832047.

The spelling of 82852252 in words is "eighty-two million, eight hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 373 746 1492 2611 5222 7933 10444 15866 31732 55531 111062 222124 2959009 5918018 11836036 20713063 41426126 82852252