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189388192 = 2574717989
BaseRepresentation
bin10110100100111…
…01010110100000
3111012100220202111
423102131112200
5341440410232
630443125104
74456526110
oct1322352640
9435326674
10189388192
11979a5174
1253513794
1330310126
141b21d040
1511960047
hexb49d5a0

189388192 has 48 divisors (see below), whose sum is σ = 435214080. Its totient is φ = 79435008.

The previous prime is 189388127. The next prime is 189388193. The reversal of 189388192 is 291883981.

It is not an unprimeable number, because it can be changed into a prime (189388193) by changing a digit.

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, 1534 + ... + 19522.

It is an arithmetic number, because the mean of its divisors is an integer number (9066960).

Almost surely, 2189388192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189388192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217607040).

189388192 is an abundant number, since it is smaller than the sum of its proper divisors (245825888).

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

189388192 is a wasteful number, since it uses less digits than its factorization.

189388192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18053 (or 18045 counting only the distinct ones).

The product of its digits is 248832, while the sum is 49.

The square root of 189388192 is about 13761.8382493038. The cubic root of 189388192 is about 574.2719880362.

The spelling of 189388192 in words is "one hundred eighty-nine million, three hundred eighty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 10528 17989 35978 71956 125923 143912 251846 287824 503692 575648 845483 1007384 1690966 2014768 3381932 4029536 5918381 6763864 11836762 13527728 23673524 27055456 47347048 94694096 189388192