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852055128 = 233218616359
BaseRepresentation
bin110010110010010…
…101010001011000
32012101021212220100
4302302111101120
53221111231003
6220314255400
730054230511
oct6262252130
92171255810
10852055128
113a7a656a1
121b9427560
131076aa842
1481239a08
154ec0aba3
hex32c95458

852055128 has 48 divisors (see below), whose sum is σ = 2309252400. Its totient is φ = 283821120.

The previous prime is 852055111. The next prime is 852055157. The reversal of 852055128 is 821550258.

852055128 is a `hidden beast` number, since 8 + 520 + 5 + 5 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 852055092 and 852055101.

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 11 ways as a sum of consecutive naturals, for example, 130813 + ... + 137171.

It is an arithmetic number, because the mean of its divisors is an integer number (48109425).

Almost surely, 2852055128 is an apocalyptic number.

It is an amenable number.

852055128 is an abundant number, since it is smaller than the sum of its proper divisors (1457197272).

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

852055128 is a wasteful number, since it uses less digits than its factorization.

852055128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8225 counting only the distinct ones).

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

The square root of 852055128 is about 29189.9833504577. The cubic root of 852055128 is about 948.0310570395.

The spelling of 852055128 in words is "eight hundred fifty-two million, fifty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1861 3722 5583 6359 7444 11166 12718 14888 16749 19077 22332 25436 33498 38154 44664 50872 57231 66996 76308 114462 133992 152616 228924 457848 11834099 23668198 35502297 47336396 71004594 94672792 106506891 142009188 213013782 284018376 426027564 852055128