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852252120 = 2332523102929
BaseRepresentation
bin110010110011000…
…101010111011000
32012101122220010100
4302303011113120
53221134031440
6220322415400
730056011026
oct6263052730
92171586110
10852252120
113a808a6a5
121b9501560
131077493c5
148128b716
154ec49230
hex32cc55d8

852252120 has 96 divisors (see below), whose sum is σ = 2890274400. Its totient is φ = 217383936.

The previous prime is 852252113. The next prime is 852252139. The reversal of 852252120 is 21252258.

852252120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43185 + ... + 59744.

It is an arithmetic number, because the mean of its divisors is an integer number (30107025).

Almost surely, 2852252120 is an apocalyptic number.

It is an amenable number.

852252120 is an abundant number, since it is smaller than the sum of its proper divisors (2038022280).

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

852252120 is a wasteful number, since it uses less digits than its factorization.

852252120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102969 (or 102962 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 852252120 is about 29193.3574636423. The cubic root of 852252120 is about 948.1041118366.

The spelling of 852252120 in words is "eight hundred fifty-two million, two hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 102929 205858 308787 411716 514645 617574 823432 926361 1029290 1235148 1543935 1852722 2058580 2367367 2470296 3087870 3705444 4117160 4631805 4734734 6175740 7102101 7410888 9263610 9469468 11836835 12351480 14204202 18527220 18938936 21306303 23673670 28408404 35510505 37054440 42612606 47347340 56816808 71021010 85225212 94694680 106531515 142042020 170450424 213063030 284084040 426126060 852252120