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931531441 = 23213272
BaseRepresentation
bin110111100001100…
…000101010110001
32101220211200220111
4313201200222301
53401433001231
6232233541321
732040613051
oct6741405261
92356750814
10931531441
114389093a5
1221bb74841
1311acb6749
148ba07561
1556ba94b1
hex37860ab1

931531441 has 9 divisors (see below), whose sum is σ = 974528121. Its totient is φ = 890358612.

The previous prime is 931531429. The next prime is 931531453. The reversal of 931531441 is 144135139.

The square root of 931531441 is 30521.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (931531429) and next prime (931531453).

It is a de Polignac number, because none of the positive numbers 2k-931531441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (931531481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 701320 + ... + 702646.

Almost surely, 2931531441 is an apocalyptic number.

931531441 is the 30521-st square number.

931531441 is the 15261-st centered octagonal number.

It is an amenable number.

931531441 is a deficient number, since it is larger than the sum of its proper divisors (42996680).

931531441 is an frugal number, since it uses more digits than its factorization.

931531441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 1350 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The cubic root of 931531441 is about 976.6354986358.

The spelling of 931531441 in words is "nine hundred thirty-one million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 23 529 1327 30521 701983 1760929 40501367 931531441