Search a number
-
+
189231936 = 2633131793
BaseRepresentation
bin10110100011101…
…11001101000000
3111012001222102020
423101313031000
5341420410221
630435521440
74455305415
oct1321671500
9435058366
10189231936
11978a8833
1253459280
1330286c7a
141b1bc10c
151192dac6
hexb477340

189231936 has 56 divisors (see below), whose sum is σ = 516843264. Its totient is φ = 61040640.

The previous prime is 189231923. The next prime is 189231941. The reversal of 189231936 is 639132981.

189231936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 9945 + ... + 21848.

It is an arithmetic number, because the mean of its divisors is an integer number (9229344).

Almost surely, 2189231936 is an apocalyptic number.

189231936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

189231936 is an abundant number, since it is smaller than the sum of its proper divisors (327611328).

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

189231936 is a wasteful number, since it uses less digits than its factorization.

189231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31839 (or 31829 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 189231936 is about 13756.1599292826. The cubic root of 189231936 is about 574.1140089272.

The spelling of 189231936 in words is "one hundred eighty-nine million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 31793 63586 95379 127172 190758 254344 381516 508688 763032 985583 1017376 1526064 1971166 2034752 2956749 3052128 3942332 5913498 6104256 7884664 11826996 15769328 23653992 31538656 47307984 63077312 94615968 189231936