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855090972 = 2233191313181
BaseRepresentation
bin110010111101111…
…010011100011100
32012121000010022000
4302331322130130
53222400402342
6220503322300
730122103411
oct6275723434
92177003260
10855090972
113a974955a
121ba450390
131082015b8
14817ca108
155010a44c
hex32f7a71c

855090972 has 96 divisors (see below), whose sum is σ = 2352134400. Its totient is φ = 267883200.

The previous prime is 855090961. The next prime is 855090997. The reversal of 855090972 is 279090558.

It is a happy number.

855090972 is a `hidden beast` number, since 8 + 550 + 9 + 0 + 97 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267222 + ... + 270402.

It is an arithmetic number, because the mean of its divisors is an integer number (24501400).

Almost surely, 2855090972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855090972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176067200).

855090972 is an abundant number, since it is smaller than the sum of its proper divisors (1497043428).

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

855090972 is a wasteful number, since it uses less digits than its factorization.

855090972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 855090972 is about 29241.9385814279. The cubic root of 855090972 is about 949.1556568026.

The spelling of 855090972 in words is "eight hundred fifty-five million, ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 131 171 228 262 342 393 513 524 684 786 1026 1179 1572 2052 2358 2489 3181 3537 4716 4978 6362 7074 7467 9543 9956 12724 14148 14934 19086 22401 28629 29868 38172 44802 57258 60439 67203 85887 89604 114516 120878 134406 171774 181317 241756 268812 343548 362634 416711 543951 725268 833422 1087902 1250133 1631853 1666844 2175804 2500266 3263706 3750399 5000532 6527412 7500798 7917509 11251197 15001596 15835018 22502394 23752527 31670036 45004788 47505054 71257581 95010108 142515162 213772743 285030324 427545486 855090972