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9942192 = 24321347113
BaseRepresentation
bin100101111011…
…010010110000
3200201010010100
4211323102300
510021122232
6553032400
7150335661
oct45732260
920633110
109942192
115680797
1233b5700
1320a1470
14146b368
15d15c7c
hex97b4b0

9942192 has 120 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 2967552.

The previous prime is 9942181. The next prime is 9942199. The reversal of 9942192 is 2912499.

9942192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9942199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87928 + ... + 88040.

Almost surely, 29942192 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 9942192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

9942192 is an abundant number, since it is smaller than the sum of its proper divisors (20930832).

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

9942192 is a wasteful number, since it uses less digits than its factorization.

9942192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 9942192 is about 3153.1241650148. The cubic root of 9942192 is about 215.0275212651.

The spelling of 9942192 in words is "nine million, nine hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 113 117 141 144 156 188 208 226 234 282 312 339 376 423 452 468 564 611 624 678 752 846 904 936 1017 1128 1222 1356 1469 1692 1808 1833 1872 2034 2256 2444 2712 2938 3384 3666 4068 4407 4888 5311 5424 5499 5876 6768 7332 8136 8814 9776 10622 10998 11752 13221 14664 15933 16272 17628 21244 21996 23504 26442 29328 31866 35256 42488 43992 47799 52884 63732 69043 70512 84976 87984 95598 105768 127464 138086 191196 207129 211536 254928 276172 382392 414258 552344 621387 764784 828516 1104688 1242774 1657032 2485548 3314064 4971096 9942192