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856427572 = 22711131071999
BaseRepresentation
bin110011000011000…
…000110000110100
32012200112000202201
4303003000300310
53223221140242
6220552114244
730136341250
oct6303006064
92180460681
10856427572
113aa481790
121ba995984
1310857baa0
1481a57260
15502c14b7
hex330c0c34

856427572 has 96 divisors (see below), whose sum is σ = 2032128000. Its totient is φ = 304974720.

The previous prime is 856427549. The next prime is 856427587. The reversal of 856427572 is 275724658.

856427572 is a modest number, since divided by 427572 gives 856 as remainder.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 427429 + ... + 429427.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 2856427572 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 856427572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064000).

856427572 is an abundant number, since it is smaller than the sum of its proper divisors (1175700428).

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

856427572 is a wasteful number, since it uses less digits than its factorization.

856427572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2139 counting only the distinct ones).

The product of its digits is 940800, while the sum is 46.

The square root of 856427572 is about 29264.7838194647. The cubic root of 856427572 is about 949.6499437879.

The spelling of 856427572 in words is "eight hundred fifty-six million, four hundred twenty-seven thousand, five hundred seventy-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 107 143 154 182 214 286 308 364 428 572 749 1001 1177 1391 1498 1999 2002 2354 2782 2996 3998 4004 4708 5564 7996 8239 9737 13993 15301 16478 19474 21989 25987 27986 30602 32956 38948 43978 51974 55972 61204 87956 103948 107107 153923 181909 213893 214214 285857 307846 363818 427786 428428 571714 615692 727636 855572 1143428 1497251 2000999 2352823 2780609 2994502 4001998 4705646 5561218 5989004 8003996 9411292 11122436 16469761 19464263 30586699 32939522 38928526 61173398 65879044 77857052 122346796 214106893 428213786 856427572