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39128790 = 2351923613
BaseRepresentation
bin1001010101000…
…0111011010110
32201121221121110
42111100323112
540004110130
63514355450
7653406051
oct225207326
981557543
1039128790
11200a6048
121112bb86
13815013c
1452a7a98
15367dab0
hex2550ed6

39128790 has 48 divisors (see below), whose sum is σ = 99139248. Its totient is φ = 9882432.

The previous prime is 39128777. The next prime is 39128807. The reversal of 39128790 is 9782193.

39128790 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 23 ways as a sum of consecutive naturals, for example, 9024 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (2065401).

Almost surely, 239128790 is an apocalyptic number.

39128790 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 39128790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49569624).

39128790 is an abundant number, since it is smaller than the sum of its proper divisors (60010458).

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

39128790 is a wasteful number, since it uses less digits than its factorization.

39128790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3661 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 39128790 is about 6255.3009519926. The cubic root of 39128790 is about 339.4940282641.

The spelling of 39128790 in words is "thirty-nine million, one hundred twenty-eight thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2166 3610 3613 5415 7226 10830 10839 18065 21678 36130 54195 68647 108390 137294 205941 343235 411882 686470 1029705 1304293 2059410 2608586 3912879 6521465 7825758 13042930 19564395 39128790