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189533088 = 2533534139
BaseRepresentation
bin10110100110000…
…00101110100000
3111012122021112000
423103000232200
5342010024323
630450204000
74461001413
oct1323005640
9435567460
10189533088
1197a94018
1253583600
1330361074
141b259b7a
151198ce43
hexb4c0ba0

189533088 has 96 divisors (see below), whose sum is σ = 563371200. Its totient is φ = 61970688.

The previous prime is 189533023. The next prime is 189533089. The reversal of 189533088 is 880335981.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (189533089) 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 15 ways as a sum of consecutive naturals, for example, 43723 + ... + 47861.

It is an arithmetic number, because the mean of its divisors is an integer number (5868450).

Almost surely, 2189533088 is an apocalyptic number.

189533088 is a gapful number since it is divisible by the number (18) 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 189533088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281685600).

189533088 is an abundant number, since it is smaller than the sum of its proper divisors (373838112).

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

189533088 is a wasteful number, since it uses less digits than its factorization.

189533088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 189533088 is about 13767.1016557589. The cubic root of 189533088 is about 574.4184042437.

The spelling of 189533088 in words is "one hundred eighty-nine million, five hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 4139 5088 5724 7632 8278 11448 12417 15264 16556 22896 24834 33112 37251 45792 49668 66224 74502 99336 111753 132448 149004 198672 219367 223506 298008 397344 438734 447012 596016 658101 877468 894024 1192032 1316202 1754936 1788048 1974303 2632404 3509872 3576096 3948606 5264808 5922909 7019744 7897212 10529616 11845818 15794424 21059232 23691636 31588848 47383272 63177696 94766544 189533088