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189598992 = 243111632203
BaseRepresentation
bin10110100110100…
…00110100010000
3111012202121220220
423103100310100
5342014131432
630451433040
74461364512
oct1323206420
9435677826
10189598992
1198029590
12535b5780
133038506b
141b275bb2
15119a272c
hexb4d0d10

189598992 has 80 divisors (see below), whose sum is σ = 537846528. Its totient is φ = 57075840.

The previous prime is 189598991. The next prime is 189598999. The reversal of 189598992 is 299895981.

It is not an unprimeable number, because it can be changed into a prime (189598991) 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, 84963 + ... + 87165.

Almost surely, 2189598992 is an apocalyptic number.

189598992 is a gapful number since it is divisible by the number (12) 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 189598992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268923264).

189598992 is an abundant number, since it is smaller than the sum of its proper divisors (348247536).

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

189598992 is a wasteful number, since it uses less digits than its factorization.

189598992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2382 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 60.

The square root of 189598992 is about 13769.4949798458. The cubic root of 189598992 is about 574.4849750010.

The spelling of 189598992 in words is "one hundred eighty-nine million, five hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 163 176 264 326 489 528 652 978 1304 1793 1956 2203 2608 3586 3912 4406 5379 6609 7172 7824 8812 10758 13218 14344 17624 21516 24233 26436 28688 35248 43032 48466 52872 72699 86064 96932 105744 145398 193864 290796 359089 387728 581592 718178 1077267 1163184 1436356 2154534 2872712 3949979 4309068 5745424 7899958 8618136 11849937 15799916 17236272 23699874 31599832 47399748 63199664 94799496 189598992