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189328392 = 233211277863
BaseRepresentation
bin10110100100011…
…10110000001000
3111012020212201200
423102032300020
5341432002032
630441544200
74456156551
oct1322166010
9435225650
10189328392
1197964250
12534a5060
13302bbb46
141b205328
151194c47c
hexb48ec08

189328392 has 96 divisors (see below), whose sum is σ = 562049280. Its totient is φ = 57098880.

The previous prime is 189328357. The next prime is 189328393. The reversal of 189328392 is 293823981.

189328392 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189328393) 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 23 ways as a sum of consecutive naturals, for example, 218953 + ... + 219815.

It is an arithmetic number, because the mean of its divisors is an integer number (5854680).

Almost surely, 2189328392 is an apocalyptic number.

189328392 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 189328392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281024640).

189328392 is an abundant number, since it is smaller than the sum of its proper divisors (372720888).

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

189328392 is a wasteful number, since it uses less digits than its factorization.

189328392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1156 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 189328392 is about 13759.6654029086. The cubic root of 189328392 is about 574.2115388610.

The spelling of 189328392 in words is "one hundred eighty-nine million, three hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 277 396 554 792 831 863 1108 1662 1726 2216 2493 2589 3047 3324 3452 4986 5178 6094 6648 6904 7767 9141 9493 9972 10356 12188 15534 18282 18986 19944 20712 24376 27423 28479 31068 36564 37972 54846 56958 62136 73128 75944 85437 109692 113916 170874 219384 227832 239051 341748 478102 683496 717153 956204 1434306 1912408 2151459 2629561 2868612 4302918 5259122 5737224 7888683 8605836 10518244 15777366 17211672 21036488 23666049 31554732 47332098 63109464 94664196 189328392