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31148032 = 21167227
BaseRepresentation
bin111011011010…
…0100000000000
32011121111001211
41312310200000
530433214112
63031335504
7525516406
oct166644000
964544054
1031148032
1116644a83
12a521594
1365b76b6
1441cb476
152b040a7
hex1db4800

31148032 has 48 divisors (see below), whose sum is σ = 63488880. Its totient is φ = 15273984.

The previous prime is 31148023. The next prime is 31148071. The reversal of 31148032 is 23084113.

It is a junction number, because it is equal to n+sod(n) for n = 31147994 and 31148012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137103 + ... + 137329.

It is an arithmetic number, because the mean of its divisors is an integer number (1322685).

Almost surely, 231148032 is an apocalyptic number.

31148032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

31148032 is an abundant number, since it is smaller than the sum of its proper divisors (32340848).

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

31148032 is an equidigital number, since it uses as much as digits as its factorization.

31148032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 31148032 is about 5581.0421965794. The cubic root of 31148032 is about 314.6372981624.

The spelling of 31148032 in words is "thirty-one million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 67 128 134 227 256 268 454 512 536 908 1024 1072 1816 2048 2144 3632 4288 7264 8576 14528 15209 17152 29056 30418 34304 58112 60836 68608 116224 121672 137216 232448 243344 464896 486688 973376 1946752 3893504 7787008 15574016 31148032