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857142936 = 2332134092239
BaseRepresentation
bin110011000101101…
…111011010011000
32012201212101001200
4303011233122120
53223412033221
6221015314200
730145410666
oct6305573230
92181771050
10857142936
113aa9201a1
121bb07b960
1310876c590
1481ba1c36
15503b3426
hex3316f698

857142936 has 96 divisors (see below), whose sum is σ = 2507232000. Its totient is φ = 262973952.

The previous prime is 857142931. The next prime is 857142947. The reversal of 857142936 is 639241758.

857142936 is a `hidden beast` number, since 8 + 571 + 42 + 9 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 857142891 and 857142900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (857142931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381705 + ... + 383943.

It is an arithmetic number, because the mean of its divisors is an integer number (26117000).

Almost surely, 2857142936 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 857142936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253616000).

857142936 is an abundant number, since it is smaller than the sum of its proper divisors (1650089064).

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

857142936 is a wasteful number, since it uses less digits than its factorization.

857142936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2666 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 857142936 is about 29277.0035351981. The cubic root of 857142936 is about 949.9142807237.

The spelling of 857142936 in words is "eight hundred fifty-seven million, one hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 409 468 818 936 1227 1636 2239 2454 3272 3681 4478 4908 5317 6717 7362 8956 9816 10634 13434 14724 15951 17912 20151 21268 26868 29107 29448 31902 40302 42536 47853 53736 58214 63804 80604 87321 95706 116428 127608 161208 174642 191412 232856 261963 349284 382824 523926 698568 915751 1047852 1831502 2095704 2747253 3663004 5494506 7326008 8241759 10989012 11904763 16483518 21978024 23809526 32967036 35714289 47619052 65934072 71428578 95238104 107142867 142857156 214285734 285714312 428571468 857142936