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938153021 = 134114911813
BaseRepresentation
bin110111111010110…
…001010000111101
32102101022010000012
4313322301100331
53410131344041
6233031513005
732151112001
oct6772612075
92371263005
10938153021
11441621283
12222228765
1311c494640
148c84c701
15575663eb
hex37eb143d

938153021 has 16 divisors (see below), whose sum is σ = 1041994800. Its totient is φ = 839124480.

The previous prime is 938153009. The next prime is 938153023. The reversal of 938153021 is 120351839.

It can be written as a sum of positive squares in 8 ways, for example, as 435765625 + 502387396 = 20875^2 + 22414^2 .

It is a cyclic number.

It is not a de Polignac number, because 938153021 - 210 = 938151997 is a prime.

It is a super-2 number, since 2×9381530212 = 1760262181622852882, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938153023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73511 + ... + 85323.

It is an arithmetic number, because the mean of its divisors is an integer number (65124675).

Almost surely, 2938153021 is an apocalyptic number.

It is an amenable number.

938153021 is a deficient number, since it is larger than the sum of its proper divisors (103841779).

938153021 is a wasteful number, since it uses less digits than its factorization.

938153021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 938153021 is about 30629.2837167310. The cubic root of 938153021 is about 978.9441011751.

The spelling of 938153021 in words is "nine hundred thirty-eight million, one hundred fifty-three thousand, twenty-one".

Divisors: 1 13 41 149 533 1937 6109 11813 79417 153569 484333 1760137 6296329 22881781 72165617 938153021