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92329056 = 25321947359
BaseRepresentation
bin1011000000011…
…01010001100000
320102201210122200
411200031101200
5142114012211
613054533200
72200532631
oct540152140
9212653580
1092329056
1148132206
1226b07200
13161890a1
14c395888
15818bb56
hex580d460

92329056 has 144 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 28456704.

The previous prime is 92329001. The next prime is 92329073. The reversal of 92329056 is 65092329.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×923290562 = 17049309163702272, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 92329056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257005 + ... + 257363.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 292329056 is an apocalyptic number.

92329056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92329056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

92329056 is an abundant number, since it is smaller than the sum of its proper divisors (190717344).

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

92329056 is a wasteful number, since it uses less digits than its factorization.

92329056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 92329056 is about 9608.8009657813. The cubic root of 92329056 is about 451.9733192281.

The spelling of 92329056 in words is "ninety-two million, three hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 47 48 57 72 76 94 96 114 141 144 152 171 188 228 282 288 304 342 359 376 423 456 564 608 684 718 752 846 893 912 1077 1128 1368 1436 1504 1692 1786 1824 2154 2256 2679 2736 2872 3231 3384 3572 4308 4512 5358 5472 5744 6462 6768 6821 7144 8037 8616 10716 11488 12924 13536 13642 14288 16074 16873 17232 20463 21432 25848 27284 28576 32148 33746 34464 40926 42864 50619 51696 54568 61389 64296 67492 81852 85728 101238 103392 109136 122778 128592 134984 151857 163704 202476 218272 245556 257184 269968 303714 320587 327408 404952 491112 539936 607428 641174 654816 809904 961761 982224 1214856 1282348 1619808 1923522 1964448 2429712 2564696 2885283 3847044 4859424 5129392 5770566 7694088 10258784 11541132 15388176 23082264 30776352 46164528 92329056