Search a number
-
+
189499392 = 2113323149
BaseRepresentation
bin10110100101110…
…00100000000000
3111012120120022000
423102320200000
5342002440032
630445344000
74460501235
oct1322704000
9435516260
10189499392
1197a70775
1253568000
133034b924
141b24b78c
1511982e7c
hexb4b8800

189499392 has 192 divisors, whose sum is σ = 589680000. Its totient is φ = 60014592.

The previous prime is 189499381. The next prime is 189499397. The reversal of 189499392 is 293994981.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189499397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1271734 + ... + 1271882.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2189499392 is an apocalyptic number.

189499392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189499392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840000).

189499392 is an abundant number, since it is smaller than the sum of its proper divisors (400180608).

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

189499392 is a wasteful number, since it uses less digits than its factorization.

189499392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 177 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 189499392 is about 13765.8778143640. The cubic root of 189499392 is about 574.3843613757.

The spelling of 189499392 in words is "one hundred eighty-nine million, four hundred ninety-nine thousand, three hundred ninety-two".