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81857412 = 22337138329
BaseRepresentation
bin1001110000100…
…00101110000100
312201000210021000
410320100232010
5131423414122
612042253300
72012530230
oct470205604
9181023230
1081857412
114222a75a
12234b7230
1313c60950
14ac2b5c0
1572be0ac
hex4e10b84

81857412 has 96 divisors (see below), whose sum is σ = 261228800. Its totient is φ = 21586176.

The previous prime is 81857411. The next prime is 81857417. The reversal of 81857412 is 21475818.

81857412 is a `hidden beast` number, since 81 + 8 + 574 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (81857411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5664 + ... + 13992.

Almost surely, 281857412 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 81857412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130614400).

81857412 is an abundant number, since it is smaller than the sum of its proper divisors (179371388).

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

81857412 is a wasteful number, since it uses less digits than its factorization.

81857412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8354 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 81857412 is about 9047.5086073460. The cubic root of 81857412 is about 434.1961850261.

The spelling of 81857412 in words is "eighty-one million, eight hundred fifty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 8329 9828 16658 24987 33316 49974 58303 74961 99948 108277 116606 149922 174909 216554 224883 233212 299844 324831 349818 433108 449766 524727 649662 699636 757939 899532 974493 1049454 1299324 1515878 1574181 1948986 2098908 2273817 2923479 3031756 3148362 3897972 4547634 5846958 6296724 6821451 9095268 11693916 13642902 20464353 27285804 40928706 81857412