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189191808 = 2733134211
BaseRepresentation
bin10110100011011…
…01011010000000
3111011222221101000
423101231122000
5341413114213
630435012000
74455050421
oct1321553200
9434887330
10189191808
1197880673
125343a000
1330271920
141b1ab648
1511921c73
hexb46d680

189191808 has 128 divisors (see below), whose sum is σ = 601473600. Its totient is φ = 58199040.

The previous prime is 189191801. The next prime is 189191809. The reversal of 189191808 is 808191981.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (189191801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42823 + ... + 47033.

Almost surely, 2189191808 is an apocalyptic number.

189191808 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 189191808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300736800).

189191808 is an abundant number, since it is smaller than the sum of its proper divisors (412281792).

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

189191808 is a wasteful number, since it uses less digits than its factorization.

189191808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 45.

The square root of 189191808 is about 13754.7013053719. The cubic root of 189191808 is about 574.0734243830.

The spelling of 189191808 in words is "one hundred eighty-nine million, one hundred ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4211 4992 5616 7488 8422 11232 12633 14976 16844 22464 25266 33688 37899 44928 50532 54743 67376 75798 101064 109486 113697 134752 151596 164229 202128 218972 227394 269504 303192 328458 404256 437944 454788 492687 539008 606384 656916 808512 875888 909576 985374 1212768 1313832 1478061 1617024 1751776 1819152 1970748 2425536 2627664 2956122 3503552 3638304 3941496 4851072 5255328 5912244 7007104 7276608 7882992 10510656 11824488 14553216 15765984 21021312 23648976 31531968 47297952 63063936 94595904 189191808