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85852152 = 23321192391
BaseRepresentation
bin1010001110111…
…11111111111000
312222112202000100
411013133333320
5133434232102
612304035400
72061505551
oct507377770
9188482010
1085852152
1144508aa1
1224902b60
1314a2bcb9
14b58b328
15780ca1c
hex51dfff8

85852152 has 24 divisors (see below), whose sum is σ = 232516440. Its totient is φ = 28617360.

The previous prime is 85852147. The next prime is 85852181. The reversal of 85852152 is 25125858.

85852152 is a `hidden beast` number, since 8 + 585 + 21 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×858521522 = 14741184006062208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 596124 + ... + 596267.

It is an arithmetic number, because the mean of its divisors is an integer number (9688185).

Almost surely, 285852152 is an apocalyptic number.

It is an amenable number.

85852152 is an abundant number, since it is smaller than the sum of its proper divisors (146664288).

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

85852152 is a wasteful number, since it uses less digits than its factorization.

85852152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192403 (or 1192396 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

The square root of 85852152 is about 9265.6436365748. The cubic root of 85852152 is about 441.1474047173.

The spelling of 85852152 in words is "eighty-five million, eight hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1192391 2384782 3577173 4769564 7154346 9539128 10731519 14308692 21463038 28617384 42926076 85852152