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857382012 = 22321710713093
BaseRepresentation
bin110011000110101…
…001110001111100
32012202022112000100
4303012221301330
53223442211022
6221024401100
730150425004
oct6306516174
92182275010
10857382012
113aaa73883
121bb176190
13108824346
1481c25004
155040e1ac
hex331a9c7c

857382012 has 72 divisors (see below), whose sum is σ = 2316380976. Its totient is φ = 266448384.

The previous prime is 857381947. The next prime is 857382047. The reversal of 857382012 is 210283758.

857382012 is a `hidden beast` number, since 8 + 573 + 82 + 0 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58938 + ... + 72030.

It is an arithmetic number, because the mean of its divisors is an integer number (32171958).

Almost surely, 2857382012 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 857382012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158190488).

857382012 is an abundant number, since it is smaller than the sum of its proper divisors (1458998964).

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

857382012 is a wasteful number, since it uses less digits than its factorization.

857382012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 857382012 is about 29281.0862503426. The cubic root of 857382012 is about 950.0025898360.

The spelling of 857382012 in words is "eight hundred fifty-seven million, three hundred eighty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 107 153 204 214 306 321 428 612 642 963 1284 1819 1926 3638 3852 5457 7276 10914 13093 16371 21828 26186 32742 39279 52372 65484 78558 117837 157116 222581 235674 445162 471348 667743 890324 1335486 1400951 2003229 2670972 2801902 4006458 4202853 5603804 8012916 8405706 12608559 16811412 23816167 25217118 47632334 50434236 71448501 95264668 142897002 214345503 285794004 428691006 857382012