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499993164 = 2232114329363
BaseRepresentation
bin11101110011010…
…100101001001100
31021211211021200100
4131303110221030
52010444240124
6121340331100
715250605006
oct3563245114
91254737610
10499993164
112372622a0
1211b543a90
137c781c58
144a593376
152dd661c9
hex1dcd4a4c

499993164 has 72 divisors (see below), whose sum is σ = 1410881472. Its totient is φ = 147984480.

The previous prime is 499993139. The next prime is 499993177. The reversal of 499993164 is 461399994.

499993164 is a `hidden beast` number, since 499 + 9 + 93 + 1 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 499993164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2347 + ... + 31709.

It is an arithmetic number, because the mean of its divisors is an integer number (19595576).

Almost surely, 2499993164 is an apocalyptic number.

499993164 is a gapful number since it is divisible by the number (44) 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 499993164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705440736).

499993164 is an abundant number, since it is smaller than the sum of its proper divisors (910888308).

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

499993164 is a wasteful number, since it uses less digits than its factorization.

499993164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29427 (or 29422 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 499993164 is about 22360.5269168685. The cubic root of 499993164 is about 793.6969088098.

The spelling of 499993164 in words is "four hundred ninety-nine million, nine hundred ninety-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 17028 29363 58726 88089 117452 176178 264267 322993 352356 528534 645986 968979 1057068 1262609 1291972 1937958 2525218 2906937 3787827 3875916 5050436 5813874 7575654 11363481 11627748 13888699 15151308 22726962 27777398 41666097 45453924 55554796 83332194 124998291 166664388 249996582 499993164