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189381792 = 25310511877
BaseRepresentation
bin10110100100110…
…11110010100000
3111012100120222110
423102123302200
5341440204132
630443035320
74456501335
oct1322336240
9435316873
10189381792
11979a0386
125350bb40
133030a242
141b21a98c
151195d1cc
hexb49bca0

189381792 has 48 divisors (see below), whose sum is σ = 497865312. Its totient is φ = 63033600.

The previous prime is 189381769. The next prime is 189381811. The reversal of 189381792 is 297183981.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1893817922 = 71730926282262528, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 99958 + ... + 101834.

It is an arithmetic number, because the mean of its divisors is an integer number (10372194).

Almost surely, 2189381792 is an apocalyptic number.

189381792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

189381792 is an abundant number, since it is smaller than the sum of its proper divisors (308483520).

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

189381792 is a wasteful number, since it uses less digits than its factorization.

189381792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2933 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 189381792 is about 13761.6057202639. The cubic root of 189381792 is about 574.2655191673.

The spelling of 189381792 in words is "one hundred eighty-nine million, three hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1051 1877 2102 3153 3754 4204 5631 6306 7508 8408 11262 12612 15016 16816 22524 25224 30032 33632 45048 50448 60064 90096 100896 180192 1972727 3945454 5918181 7890908 11836362 15781816 23672724 31563632 47345448 63127264 94690896 189381792