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9938292 = 22371319479
BaseRepresentation
bin100101111010…
…010101110100
3200200220202220
4211322111310
510021011132
6553002340
7150321420
oct45722564
920626686
109938292
115678871
1233b33b0
13209c760
141469b80
15d14a2c
hex97a574

9938292 has 96 divisors (see below), whose sum is σ = 30105600. Its totient is φ = 2477952.

The previous prime is 9938281. The next prime is 9938297. The reversal of 9938292 is 2928399.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9938297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20509 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (313600).

Almost surely, 29938292 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 9938292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052800).

9938292 is an abundant number, since it is smaller than the sum of its proper divisors (20167308).

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

9938292 is a wasteful number, since it uses less digits than its factorization.

9938292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 523 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 9938292 is about 3152.5056700980. The cubic root of 9938292 is about 214.9994014766. Note that the first 3 decimals are identical.

The spelling of 9938292 in words is "nine million, nine hundred thirty-eight thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 479 494 532 546 741 798 958 988 1092 1437 1482 1596 1729 1916 2874 2964 3353 3458 5187 5748 6227 6706 6916 9101 10059 10374 12454 13412 18202 18681 20118 20748 24908 27303 36404 37362 40236 43589 54606 63707 74724 87178 109212 118313 127414 130767 174356 191121 236626 254828 261534 354939 382242 473252 523068 709878 764484 828191 1419756 1656382 2484573 3312764 4969146 9938292