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82518444 = 223219120641
BaseRepresentation
bin1001110101100…
…10000110101100
312202021101000200
410322302012230
5132111042234
612104353500
72021252361
oct472620654
9182241020
1082518444
1142641368
1223775890
13141327a8
14ad60468
15739ed99
hex4eb21ac

82518444 has 36 divisors (see below), whose sum is σ = 219568440. Its totient is φ = 26058240.

The previous prime is 82518437. The next prime is 82518461. The reversal of 82518444 is 44481528.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×825184442 = 13618587200362272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 82518399 and 82518408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59637 + ... + 61004.

Almost surely, 282518444 is an apocalyptic number.

It is an amenable number.

82518444 is an abundant number, since it is smaller than the sum of its proper divisors (137049996).

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

82518444 is a wasteful number, since it uses less digits than its factorization.

82518444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120670 (or 120665 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 82518444 is about 9083.9663143365. The cubic root of 82518444 is about 435.3618234148.

The spelling of 82518444 in words is "eighty-two million, five hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 120641 241282 361923 482564 723846 1085769 1447692 2171538 2292179 4343076 4584358 6876537 9168716 13753074 20629611 27506148 41259222 82518444