Search a number
-
+
38967930 = 23253113967
BaseRepresentation
bin1001010010100…
…1101001111010
32201022202221200
42110221221322
534433433210
63511115030
7652136061
oct224515172
981282850
1038967930
111aaa6201
1211072a76
1380c4b61
1452651d8
15364b0c0
hex2529a7a

38967930 has 48 divisors (see below), whose sum is σ = 104592384. Its totient is φ = 10055520.

The previous prime is 38967923. The next prime is 38967931. The reversal of 38967930 is 3976983.

It is a happy number.

38967930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38967931) 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, 4194 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (2179008).

Almost surely, 238967930 is an apocalyptic number.

38967930 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38967930 is an abundant number, since it is smaller than the sum of its proper divisors (65624454).

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

38967930 is a wasteful number, since it uses less digits than its factorization.

38967930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14011 (or 14008 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 38967930 is about 6242.4298153844. The cubic root of 38967930 is about 339.0281648357.

The spelling of 38967930 in words is "thirty-eight million, nine hundred sixty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 13967 27934 41901 69835 83802 125703 139670 209505 251406 419010 432977 628515 865954 1257030 1298931 2164885 2597862 3896793 4329770 6494655 7793586 12989310 19483965 38967930