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189386688 = 2633147677
BaseRepresentation
bin10110100100111…
…00111111000000
3111012100211200210
423102130333000
5341440333223
630443114120
74456521531
oct1322347700
9435324623
10189386688
11979a4027
1253512940
133030c53a
141b21c688
151195e893
hexb49cfc0

189386688 has 112 divisors (see below), whose sum is σ = 529035264. Its totient is φ = 59704320.

The previous prime is 189386677. The next prime is 189386693. The reversal of 189386688 is 886683981.

189386688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279406 + ... + 280082.

Almost surely, 2189386688 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 189386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264517632).

189386688 is an abundant number, since it is smaller than the sum of its proper divisors (339648576).

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

189386688 is a wasteful number, since it uses less digits than its factorization.

189386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 57.

The square root of 189386688 is about 13761.7836053326. The cubic root of 189386688 is about 574.2704678651.

The spelling of 189386688 in words is "one hundred eighty-nine million, three hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 141 186 188 192 248 282 372 376 496 564 677 744 752 992 1128 1354 1457 1488 1504 1984 2031 2256 2708 2914 2976 3008 4062 4371 4512 5416 5828 5952 8124 8742 9024 10832 11656 16248 17484 20987 21664 23312 31819 32496 34968 41974 43328 46624 62961 63638 64992 69936 83948 93248 95457 125922 127276 129984 139872 167896 190914 251844 254552 279744 335792 381828 503688 509104 671584 763656 986389 1007376 1018208 1343168 1527312 1972778 2014752 2036416 2959167 3054624 3945556 4029504 5918334 6109248 7891112 11836668 15782224 23673336 31564448 47346672 63128896 94693344 189386688