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31092048 = 24321317977
BaseRepresentation
bin111011010011…
…0110101010000
32011111122021100
41312212311100
530424421143
63030224400
7525164241
oct166466520
964448240
1031092048
1116606a09
12a4b5100
136598080
1441b4cc8
152ae26d3
hex1da6d50

31092048 has 120 divisors (see below), whose sum is σ = 99321768. Its totient is φ = 8994816.

The previous prime is 31092043. The next prime is 31092059. The reversal of 31092048 is 84029013.

It can be written as a sum of positive squares in 4 ways, for example, as 10188864 + 20903184 = 3192^2 + 4572^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31092043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31336 + ... + 32312.

Almost surely, 231092048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31092048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49660884).

31092048 is an abundant number, since it is smaller than the sum of its proper divisors (68229720).

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

31092048 is a wasteful number, since it uses less digits than its factorization.

31092048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31092048 is about 5576.0243901906. The cubic root of 31092048 is about 314.4486803785.

The spelling of 31092048 in words is "thirty-one million, ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 977 1224 1326 1768 1872 1954 1989 2448 2652 2931 3536 3908 3978 5304 5862 7816 7956 8793 10608 11724 12701 15632 15912 16609 17586 23448 25402 31824 33218 35172 38103 46896 49827 50804 66436 70344 76206 99654 101608 114309 132872 140688 149481 152412 199308 203216 215917 228618 265744 298962 304824 398616 431834 457236 597924 609648 647751 797232 863668 914472 1195848 1295502 1727336 1828944 1943253 2391696 2591004 3454672 3886506 5182008 7773012 10364016 15546024 31092048