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31090048 = 271171311
BaseRepresentation
bin111011010011…
…0010110000000
32011111112112021
41312212112000
530424340143
63030211224
7525155353
oct166462600
964445467
1031090048
1116605460
12a4b3b14
1365971a2
1441b429a
152ae1ced
hex1da6580

31090048 has 64 divisors (see below), whose sum is σ = 68739840. Its totient is φ = 13888000.

The previous prime is 31090021. The next prime is 31090063. The reversal of 31090048 is 84009013.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99813 + ... + 100123.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 231090048 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 31090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34369920).

31090048 is an abundant number, since it is smaller than the sum of its proper divisors (37649792).

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

31090048 is a wasteful number, since it uses less digits than its factorization.

31090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 31090048 is about 5575.8450480622. The cubic root of 31090048 is about 314.4419379167.

The spelling of 31090048 in words is "thirty-one million, ninety thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 71 88 128 142 176 284 311 352 568 622 704 781 1136 1244 1408 1562 2272 2488 3124 3421 4544 4976 6248 6842 9088 9952 12496 13684 19904 22081 24992 27368 39808 44162 49984 54736 88324 99968 109472 176648 218944 242891 353296 437888 485782 706592 971564 1413184 1943128 2826368 3886256 7772512 15545024 31090048