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9942128 = 247293061
BaseRepresentation
bin100101111011…
…010001110000
3200201010000222
4211323101300
510021122003
6553032212
7150335540
oct45732160
920633028
109942128
115680739
1233b5668
1320a1421
14146b320
15d15c38
hex97b470

9942128 has 40 divisors (see below), whose sum is σ = 22781280. Its totient is φ = 4112640.

The previous prime is 9942077. The next prime is 9942133. The reversal of 9942128 is 8212499.

9942128 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

9942128 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (569532).

Almost surely, 29942128 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 9942128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11390640).

9942128 is an abundant number, since it is smaller than the sum of its proper divisors (12839152).

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

9942128 is a wasteful number, since it uses less digits than its factorization.

9942128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3099 counting only the distinct ones).

The product of its digits is 10368, while the sum is 35.

The square root of 9942128 is about 3153.1140163337. The cubic root of 9942128 is about 215.0270598716.

The spelling of 9942128 in words is "nine million, nine hundred forty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3061 3248 6122 12244 21427 24488 42854 48976 85708 88769 171416 177538 342832 355076 621383 710152 1242766 1420304 2485532 4971064 9942128