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856362012 = 2231121734693
BaseRepresentation
bin110011000010110…
…000110000011100
32012200101200211120
4303002300300130
53223212041022
6220550450540
730135646152
oct6302606034
92180350746
10856362012
113aa437500
121ba963a50
13108557cac
1481a3b3d2
15502abd5c
hex330b0c1c

856362012 has 72 divisors (see below), whose sum is σ = 2325608208. Its totient is φ = 244231680.

The previous prime is 856361999. The next prime is 856362107. The reversal of 856362012 is 210263658.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 7338 + ... + 42030.

It is an arithmetic number, because the mean of its divisors is an integer number (32300114).

Almost surely, 2856362012 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 856362012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162804104).

856362012 is an abundant number, since it is smaller than the sum of its proper divisors (1469246196).

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

856362012 is a wasteful number, since it uses less digits than its factorization.

856362012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34739 (or 34726 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 856362012 is about 29263.6636804075. The cubic root of 856362012 is about 949.6257110950.

The spelling of 856362012 in words is "eight hundred fifty-six million, three hundred sixty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 121 132 187 204 242 363 374 484 561 726 748 1122 1452 2057 2244 4114 6171 8228 12342 24684 34693 69386 104079 138772 208158 381623 416316 589781 763246 1144869 1179562 1526492 1769343 2289738 2359124 3538686 4197853 4579476 6487591 7077372 8395706 12593559 12975182 16791412 19462773 25187118 25950364 38925546 50374236 71363501 77851092 142727002 214090503 285454004 428181006 856362012