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9992472 = 2337229293
BaseRepresentation
bin100110000111…
…100100011000
3200210200002120
4212013210120
510024224342
6554101240
7150635400
oct46074430
920720076
109992472
115705546
12341a820
1320bb309
141481800
15d25aec
hex987918

9992472 has 96 divisors (see below), whose sum is σ = 30164400. Its totient is φ = 2747136.

The previous prime is 9992449. The next prime is 9992483. The reversal of 9992472 is 2742999.

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

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, 33958 + ... + 34250.

Almost surely, 29992472 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 9992472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082200).

9992472 is an abundant number, since it is smaller than the sum of its proper divisors (20171928).

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

9992472 is a wasteful number, since it uses less digits than its factorization.

9992472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 9992472 is about 3161.0871547618. The cubic root of 9992472 is about 215.3893934837.

The spelling of 9992472 in words is "nine million, nine hundred ninety-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 293 294 348 392 406 586 588 609 696 812 879 1172 1176 1218 1421 1624 1758 2051 2344 2436 2842 3516 4102 4263 4872 5684 6153 7032 8204 8497 8526 11368 12306 14357 16408 16994 17052 24612 25491 28714 33988 34104 43071 49224 50982 57428 59479 67976 86142 101964 114856 118958 172284 178437 203928 237916 344568 356874 416353 475832 713748 832706 1249059 1427496 1665412 2498118 3330824 4996236 9992472