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9930492 = 22331113643
BaseRepresentation
bin100101111000…
…011011111100
3200200112002000
4211320123330
510020233432
6552502300
7150256605
oct45703374
920615060
109930492
115672a20
1233aa990
132099040
141466dac
15d1257c
hex9786fc

9930492 has 96 divisors (see below), whose sum is σ = 30293760. Its totient is φ = 2773440.

The previous prime is 9930491. The next prime is 9930497. The reversal of 9930492 is 2940399.

It is a super-2 number, since 2×99304922 = 197229342724128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15123 + ... + 15765.

It is an arithmetic number, because the mean of its divisors is an integer number (315560).

Almost surely, 29930492 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 9930492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15146880).

9930492 is an abundant number, since it is smaller than the sum of its proper divisors (20363268).

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

9930492 is a wasteful number, since it uses less digits than its factorization.

9930492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 9930492 is about 3151.2683160912. The cubic root of 9930492 is about 214.9431398222.

The spelling of 9930492 in words is "nine million, nine hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 643 702 858 1188 1286 1287 1404 1716 1929 2572 2574 3858 3861 5148 5787 7073 7716 7722 8359 11574 14146 15444 16718 17361 21219 23148 25077 28292 33436 34722 42438 50154 63657 69444 75231 84876 91949 100308 127314 150462 183898 190971 225693 254628 275847 300924 367796 381942 451386 551694 763884 827541 902772 1103388 1655082 2482623 3310164 4965246 9930492