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852133900 = 225223370493
BaseRepresentation
bin110010110010101…
…000100000001100
32012101102212221211
4302302220200030
53221121241100
6220320104204
730055006252
oct6262504014
92171385854
10852133900
113a80098a2
121b9465064
13107707657
148125a5d2
154ec241ba
hex32ca880c

852133900 has 36 divisors (see below), whose sum is σ = 1929532752. Its totient is φ = 326032960.

The previous prime is 852133897. The next prime is 852133903. The reversal of 852133900 is 9331258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (852133897) and next prime (852133903).

It is a super-2 number, since 2×8521339002 = 1452264367058420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (852133903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182947 + ... + 187546.

It is an arithmetic number, because the mean of its divisors is an integer number (53598132).

Almost surely, 2852133900 is an apocalyptic number.

It is an amenable number.

852133900 is an abundant number, since it is smaller than the sum of its proper divisors (1077398852).

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

852133900 is a wasteful number, since it uses less digits than its factorization.

852133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370530 (or 370523 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 852133900 is about 29191.3326177480. The cubic root of 852133900 is about 948.0602711121.

The spelling of 852133900 in words is "eight hundred fifty-two million, one hundred thirty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 370493 740986 1481972 1852465 3704930 7409860 8521339 9262325 17042678 18524650 34085356 37049300 42606695 85213390 170426780 213033475 426066950 852133900