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189944832 = 2103711273
BaseRepresentation
bin10110101001001…
…01010000000000
3111020102012022210
423110211100000
5342111213312
630503102120
74464335010
oct1324452000
9436365283
10189944832
1198245400
1253741940
13304765bc
141b325c40
1511a1ee3c
hexb525400

189944832 has 264 divisors, whose sum is σ = 644690368. Its totient is φ = 48660480.

The previous prime is 189944827. The next prime is 189944837. The reversal of 189944832 is 238449981.

189944832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (189944827) and next prime (189944837).

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (497664) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189944837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2601948 + ... + 2602020.

Almost surely, 2189944832 is an apocalyptic number.

189944832 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 189944832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322345184).

189944832 is an abundant number, since it is smaller than the sum of its proper divisors (454745536).

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

189944832 is a wasteful number, since it uses less digits than its factorization.

189944832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 189944832 is about 13782.0474531181. The cubic root of 189944832 is about 574.8340612532.

The spelling of 189944832 in words is "one hundred eighty-nine million, nine hundred forty-four thousand, eight hundred thirty-two".