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929840058 = 2327171074057
BaseRepresentation
bin110111011011000…
…011101110111010
32101210122202202200
4313123003232322
53401014340213
6232133411030
732020336650
oct6733035672
92353582680
10929840058
11437963664
1221b499a76
1311a843924
148b6c6dd0
1556973273
hex376c3bba

929840058 has 96 divisors (see below), whose sum is σ = 2461290624. Its totient is φ = 247643136.

The previous prime is 929840047. The next prime is 929840063. The reversal of 929840058 is 850048929.

It is a super-2 number, since 2×9298400582 = 1729205066922886728, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 929839995 and 929840022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227166 + ... + 231222.

It is an arithmetic number, because the mean of its divisors is an integer number (25638444).

Almost surely, 2929840058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 929840058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230645312).

929840058 is an abundant number, since it is smaller than the sum of its proper divisors (1531450566).

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

929840058 is a wasteful number, since it uses less digits than its factorization.

929840058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 929840058 is about 30493.2788988000. The cubic root of 929840058 is about 976.0440476907.

The spelling of 929840058 in words is "nine hundred twenty-nine million, eight hundred forty thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 107 119 126 153 214 238 306 321 357 642 714 749 963 1071 1498 1819 1926 2142 2247 3638 4057 4494 5457 6741 8114 10914 12171 12733 13482 16371 24342 25466 28399 32742 36513 38199 56798 68969 73026 76398 85197 114597 137938 170394 206907 229194 255591 413814 434099 482783 511182 620721 868198 965566 1241442 1302297 1448349 2604594 2896698 3038693 3906891 4345047 6077386 7379683 7813782 8690094 9116079 14759366 18232158 22139049 27348237 44278098 51657781 54696474 66417147 103315562 132834294 154973343 309946686 464920029 929840058