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972928424 = 231329322589
BaseRepresentation
bin111001111111011…
…011010110101000
32111210201212220002
4321333123112220
53443032202144
6240313122132
733052520006
oct7177332650
92453655802
10972928424
1145a213586
122319b9348
1312674c0c0
1493301a76
155a63514e
hex39fdb5a8

972928424 has 32 divisors (see below), whose sum is σ = 2032317000. Its totient is φ = 433558272.

The previous prime is 972928393. The next prime is 972928427. The reversal of 972928424 is 424829279.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 895804900 + 77123524 = 29930^2 + 8782^2 .

It is not an unprimeable number, because it can be changed into a prime (972928427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158279 + ... + 164310.

Almost surely, 2972928424 is an apocalyptic number.

It is an amenable number.

972928424 is an abundant number, since it is smaller than the sum of its proper divisors (1059388576).

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

972928424 is a wasteful number, since it uses less digits than its factorization.

972928424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322637 (or 322633 counting only the distinct ones).

The product of its digits is 580608, while the sum is 47.

The square root of 972928424 is about 31191.8005892574. The cubic root of 972928424 is about 990.8934640686.

The spelling of 972928424 in words is "nine hundred seventy-two million, nine hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 322589 645178 1290356 2580712 4193657 8387314 9355081 16774628 18710162 33549256 37420324 74840648 121616053 243232106 486464212 972928424