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38923590 = 23519232969
BaseRepresentation
bin1001010001111…
…0110101000110
32201020112010110
42110132311012
534431023330
63510133450
7651562566
oct224366506
981215113
1038923590
111aa75962
1211051286
1380aa914
145252da6
15363cdb0
hex251ed46

38923590 has 64 divisors (see below), whose sum is σ = 102643200. Its totient is φ = 9402624.

The previous prime is 38923589. The next prime is 38923601. The reversal of 38923590 is 9532983.

38923590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11626 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 238923590 is an apocalyptic number.

38923590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38923590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51321600).

38923590 is an abundant number, since it is smaller than the sum of its proper divisors (63719610).

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

38923590 is a wasteful number, since it uses less digits than its factorization.

38923590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 38923590 is about 6238.8773028486. The cubic root of 38923590 is about 338.8995273119.

The spelling of 38923590 in words is "thirty-eight million, nine hundred twenty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 570 690 874 1311 2185 2622 2969 4370 5938 6555 8907 13110 14845 17814 29690 44535 56411 68287 89070 112822 136574 169233 204861 282055 338466 341435 409722 564110 682870 846165 1024305 1297453 1692330 2048610 2594906 3892359 6487265 7784718 12974530 19461795 38923590