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38940390 = 2325735927
BaseRepresentation
bin1001010010001…
…0111011100110
32201021101011200
42110202323212
534432043030
63510343330
7651662556
oct224427346
981241150
1038940390
111aa87545
121105ab46
1380b5468
145259166
153642d60
hex2522ee6

38940390 has 48 divisors (see below), whose sum is σ = 102649248. Its totient is φ = 10240128.

The previous prime is 38940389. The next prime is 38940401. The reversal of 38940390 is 9304983.

38940390 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, 3607 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (2138526).

Almost surely, 238940390 is an apocalyptic number.

38940390 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 38940390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51324624).

38940390 is an abundant number, since it is smaller than the sum of its proper divisors (63708858).

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

38940390 is a wasteful number, since it uses less digits than its factorization.

38940390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 38940390 is about 6240.2235536878. The cubic root of 38940390 is about 338.9482783232.

The spelling of 38940390 in words is "thirty-eight million, nine hundred forty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 5927 6570 11854 17781 29635 35562 53343 59270 88905 106686 177810 266715 432671 533430 865342 1298013 2163355 2596026 3894039 4326710 6490065 7788078 12980130 19470195 38940390