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82369854 = 23272343661
BaseRepresentation
bin1001110100011…
…01110100111110
312201222211012100
410322031310332
5132041313404
612101245530
72020063230
oct472156476
9181884170
1082369854
114254a766
12237038a6
13140acc78
14ad22250
157370d39
hex4e8dd3e

82369854 has 96 divisors (see below), whose sum is σ = 218110464. Its totient is φ = 21954240.

The previous prime is 82369823. The next prime is 82369873. The reversal of 82369854 is 45896328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124284 + ... + 124944.

It is an arithmetic number, because the mean of its divisors is an integer number (2271984).

Almost surely, 282369854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82369854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109055232).

82369854 is an abundant number, since it is smaller than the sum of its proper divisors (135740610).

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

82369854 is a wasteful number, since it uses less digits than its factorization.

82369854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 739 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 82369854 is about 9075.7839330826. The cubic root of 82369854 is about 435.1003494211.

The spelling of 82369854 in words is "eighty-two million, three hundred sixty-nine thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 43 46 63 69 86 126 129 138 161 207 258 301 322 387 414 483 602 661 774 903 966 989 1322 1449 1806 1978 1983 2709 2898 2967 3966 4627 5418 5934 5949 6923 8901 9254 11898 13846 13881 15203 17802 20769 27762 28423 30406 41538 41643 45609 56846 62307 83286 85269 91218 106421 124614 136827 170538 198961 212842 255807 273654 319263 397922 511614 596883 638526 653729 957789 1193766 1307458 1790649 1915578 1961187 3581298 3922374 4576103 5883561 9152206 11767122 13728309 27456618 41184927 82369854