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857411412 = 22311134710631
BaseRepresentation
bin110011000110110…
…000111101010100
32012202101000100020
4303012300331110
53223444131122
6221025145140
730150606504
oct6306607524
92182330306
10857411412
113aaa93980
121bb18b1b0
13108834840
1481c31a04
1550417c5c
hex331b0f54

857411412 has 96 divisors (see below), whose sum is σ = 2400620544. Its totient is φ = 234710400.

The previous prime is 857411381. The next prime is 857411447. The reversal of 857411412 is 214114758.

857411412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 75337 + ... + 85967.

It is an arithmetic number, because the mean of its divisors is an integer number (25006464).

Almost surely, 2857411412 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 857411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200310272).

857411412 is an abundant number, since it is smaller than the sum of its proper divisors (1543209132).

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

857411412 is a wasteful number, since it uses less digits than its factorization.

857411412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709 (or 10707 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 857411412 is about 29281.5882765946. The cubic root of 857411412 is about 950.0134483784.

It can be divided in two parts, 85741 and 1412, that added together give a triangular number (87153 = T417).

The spelling of 857411412 in words is "eight hundred fifty-seven million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 47 52 66 78 94 132 141 143 156 188 282 286 429 517 564 572 611 858 1034 1222 1551 1716 1833 2068 2444 3102 3666 6204 6721 7332 10631 13442 20163 21262 26884 31893 40326 42524 63786 80652 116941 127572 138203 233882 276406 350823 414609 467764 499657 552812 701646 829218 999314 1403292 1498971 1520233 1658436 1998628 2997942 3040466 4560699 5496227 5995884 6080932 6495541 9121398 10992454 12991082 16488681 18242796 19486623 21984908 25982164 32977362 38973246 65954724 71450951 77946492 142901902 214352853 285803804 428705706 857411412