Search a number
-
+
189244864 = 261928191
BaseRepresentation
bin10110100011110…
…10010111000000
3111012002122011001
423101322113000
5341421313424
630440101344
74455361204
oct1321722700
9435078131
10189244864
1197907516
1253464854
133028cb13
141b1c2b04
1511932844
hexb47a5c0

189244864 has 42 divisors (see below), whose sum is σ = 396386304. Its totient is φ = 89631360.

The previous prime is 189244843. The next prime is 189244871. The reversal of 189244864 is 468442981.

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 5 ways as a sum of consecutive naturals, for example, 19009 + ... + 27199.

Almost surely, 2189244864 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 189244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198193152).

189244864 is an abundant number, since it is smaller than the sum of its proper divisors (207141440).

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

189244864 is an equidigital number, since it uses as much as digits as its factorization.

189244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8212 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 189244864 is about 13756.6298198360. The cubic root of 189244864 is about 574.1270827896.

The spelling of 189244864 in words is "one hundred eighty-nine million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 5776 8191 11552 16382 23104 32764 65528 131056 155629 262112 311258 524224 622516 1245032 2490064 2956951 4980128 5913902 9960256 11827804 23655608 47311216 94622432 189244864