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9979424 = 2571323149
BaseRepresentation
bin100110000100…
…011000100000
3200210000012022
4212010120200
510023320144
6553521012
7150552350
oct46043040
920700168
109979424
1156a6764
123413168
1320b53b0
14147ab60
15d21cee
hex984620

9979424 has 96 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 3750912.

The previous prime is 9979399. The next prime is 9979433. The reversal of 9979424 is 4249799.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66902 + ... + 67050.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 29979424 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 9979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

9979424 is an abundant number, since it is smaller than the sum of its proper divisors (15422176).

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

9979424 is a wasteful number, since it uses less digits than its factorization.

9979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 163296, while the sum is 44.

The square root of 9979424 is about 3159.0226336638. The cubic root of 9979424 is about 215.2956020458.

The spelling of 9979424 in words is "nine million, nine hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 91 92 104 112 149 161 182 184 208 224 298 299 322 364 368 416 596 598 644 728 736 1043 1192 1196 1288 1456 1937 2086 2093 2384 2392 2576 2912 3427 3874 4172 4186 4768 4784 5152 6854 7748 8344 8372 9568 13559 13708 15496 16688 16744 23989 27118 27416 30992 33376 33488 44551 47978 54236 54832 61984 66976 89102 95956 108472 109664 178204 191912 216944 311857 356408 383824 433888 623714 712816 767648 1247428 1425632 2494856 4989712 9979424