Search a number
-
+
189311792 = 2431616257
BaseRepresentation
bin10110100100010…
…10101100110000
3111012020000221212
423102022230300
5341430434132
630441335252
74456060265
oct1322125460
9435200855
10189311792
119795282a
1253497528
13302b4417
141b1dd26c
15119475b2
hexb48ab30

189311792 has 40 divisors (see below), whose sum is σ = 384892032. Its totient is φ = 90086400.

The previous prime is 189311789. The next prime is 189311803. The reversal of 189311792 is 297113981.

It is a happy number.

189311792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27128 + ... + 33384.

Almost surely, 2189311792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189311792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192446016).

189311792 is an abundant number, since it is smaller than the sum of its proper divisors (195580240).

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

189311792 is a wasteful number, since it uses less digits than its factorization.

189311792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6357 (or 6351 counting only the distinct ones).

The product of its digits is 27216, while the sum is 41.

The square root of 189311792 is about 13759.0621773433. The cubic root of 189311792 is about 574.1947563981.

The spelling of 189311792 in words is "one hundred eighty-nine million, three hundred eleven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1891 3782 6257 7564 12514 15128 25028 30256 50056 100112 193967 381677 387934 763354 775868 1526708 1551736 3053416 3103472 6106832 11831987 23663974 47327948 94655896 189311792