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82930092 = 22377912497
BaseRepresentation
bin1001111000101…
…10100110101100
312210001021200220
410330112212230
5132212230332
612121251340
72024615460
oct474264654
9183037626
1082930092
11428a2673
1223933b50
1314247c7b
14b02a4a0
157431d2c
hex4f169ac

82930092 has 48 divisors (see below), whose sum is σ = 223964160. Its totient is φ = 23392512.

The previous prime is 82930091. The next prime is 82930103. The reversal of 82930092 is 29003928.

It is not an unprimeable number, because it can be changed into a prime (82930091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (4665920).

Almost surely, 282930092 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 82930092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111982080).

82930092 is an abundant number, since it is smaller than the sum of its proper divisors (141034068).

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

82930092 is a wasteful number, since it uses less digits than its factorization.

82930092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12590 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 82930092 is about 9106.5960709806. The cubic root of 82930092 is about 436.0845654222.

The spelling of 82930092 in words is "eighty-two million, nine hundred thirty thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 12497 24994 37491 49988 74982 87479 149964 174958 262437 349916 524874 987263 1049748 1974526 2961789 3949052 5923578 6910841 11847156 13821682 20732523 27643364 41465046 82930092