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499989168 = 243271493329
BaseRepresentation
bin11101110011010…
…011101010110000
31021211211002012100
4131303103222300
52010444123133
6121340300400
715250560240
oct3563235260
91254732170
10499989168
1123725a298
1211b541700
137c7801a3
144a591b20
152dd64e13
hex1dcd3ab0

499989168 has 120 divisors (see below), whose sum is σ = 1610388000. Its totient is φ = 141852672.

The previous prime is 499989163. The next prime is 499989169. The reversal of 499989168 is 861989994.

499989168 is a `hidden beast` number, since 499 + 9 + 89 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (499989163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148528 + ... + 151856.

It is an arithmetic number, because the mean of its divisors is an integer number (13419900).

Almost surely, 2499989168 is an apocalyptic number.

499989168 is a gapful number since it is divisible by the number (48) 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 499989168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805194000).

499989168 is an abundant number, since it is smaller than the sum of its proper divisors (1110398832).

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

499989168 is a wasteful number, since it uses less digits than its factorization.

499989168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3490 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 499989168 is about 22360.4375628027. The cubic root of 499989168 is about 793.6947943666.

The spelling of 499989168 in words is "four hundred ninety-nine million, nine hundred eighty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 149 168 252 298 336 447 504 596 894 1008 1043 1192 1341 1788 2086 2384 2682 3129 3329 3576 4172 5364 6258 6658 7152 8344 9387 9987 10728 12516 13316 16688 18774 19974 21456 23303 25032 26632 29961 37548 39948 46606 50064 53264 59922 69909 75096 79896 93212 119844 139818 150192 159792 186424 209727 239688 279636 372848 419454 479376 496021 559272 838908 992042 1118544 1488063 1677816 1984084 2976126 3355632 3472147 3968168 4464189 5952252 6944294 7936336 8928378 10416441 11904504 13888588 17856756 20832882 23809008 27777176 31249323 35713512 41665764 55554352 62498646 71427024 83331528 124997292 166663056 249994584 499989168