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189202896 = 243210113009
BaseRepresentation
bin10110100011100…
…00000111010000
3111012000111120200
423101300013100
5341413443041
630435135200
74455124641
oct1321600720
9435014520
10189202896
1197888a33
1253444500
133027699c
141b1b16c8
15119251b6
hexb4701d0

189202896 has 60 divisors (see below), whose sum is σ = 534789060. Its totient is φ = 62438400.

The previous prime is 189202883. The next prime is 189202901. The reversal of 189202896 is 698202981.

It can be written as a sum of positive squares in 2 ways, for example, as 119246400 + 69956496 = 10920^2 + 8364^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 8040 + ... + 21048.

It is an arithmetic number, because the mean of its divisors is an integer number (8913151).

Almost surely, 2189202896 is an apocalyptic number.

189202896 is a gapful number since it is divisible by the number (16) 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 189202896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267394530).

189202896 is an abundant number, since it is smaller than the sum of its proper divisors (345586164).

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

189202896 is a wasteful number, since it uses less digits than its factorization.

189202896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13124 (or 13115 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 189202896 is about 13755.1043616543. The cubic root of 189202896 is about 574.0846391071.

The spelling of 189202896 in words is "one hundred eighty-nine million, two hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2424 3636 4848 7272 13009 14544 26018 39027 52036 78054 104072 117081 156108 208144 234162 312216 468324 624432 936648 1313909 1873296 2627818 3941727 5255636 7883454 10511272 11825181 15766908 21022544 23650362 31533816 47300724 63067632 94601448 189202896