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9975728 = 24789069
BaseRepresentation
bin100110000011…
…011110110000
3200202211010102
4212003132300
510023210403
6553451532
7150535520
oct46033660
920684112
109975728
1156a3a04
123410ba8
1320b37c9
141479680
15d20b88
hex9837b0

9975728 has 20 divisors (see below), whose sum is σ = 22089360. Its totient is φ = 4275264.

The previous prime is 9975727. The next prime is 9975733. The reversal of 9975728 is 8275799.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9975727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44423 + ... + 44646.

It is an arithmetic number, because the mean of its divisors is an integer number (1104468).

Almost surely, 29975728 is an apocalyptic number.

It is an amenable number.

9975728 is an abundant number, since it is smaller than the sum of its proper divisors (12113632).

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

9975728 is a wasteful number, since it uses less digits than its factorization.

9975728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89084 (or 89078 counting only the distinct ones).

The product of its digits is 317520, while the sum is 47.

The square root of 9975728 is about 3158.4375884288. The cubic root of 9975728 is about 215.2690196565.

The spelling of 9975728 in words is "nine million, nine hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 89069 178138 356276 623483 712552 1246966 1425104 2493932 4987864 9975728