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189999264 = 25372132239
BaseRepresentation
bin10110101001100…
…10100010100000
3111020111221222210
423110302202200
5342114434024
630504202120
74464652500
oct1324624240
9436457883
10189999264
1198282294
1253769340
1330495300
141b33ba00
1511a31129
hexb5328a0

189999264 has 216 divisors, whose sum is σ = 630866880. Its totient is φ = 49900032.

The previous prime is 189999263. The next prime is 189999283. The reversal of 189999264 is 462999981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189999263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 794857 + ... + 795095.

It is an arithmetic number, because the mean of its divisors is an integer number (2920680).

Almost surely, 2189999264 is an apocalyptic number.

189999264 is a gapful number since it is divisible by the number (14) 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 189999264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315433440).

189999264 is an abundant number, since it is smaller than the sum of its proper divisors (440867616).

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

189999264 is a wasteful number, since it uses less digits than its factorization.

189999264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 264 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 57.

The square root of 189999264 is about 13784.0220545384. The cubic root of 189999264 is about 574.8889655798. Note that the first 3 decimals are identical.

The spelling of 189999264 in words is "one hundred eighty-nine million, nine hundred ninety-nine thousand, two hundred sixty-four".