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499980384 = 25331095309
BaseRepresentation
bin11101110011010…
…001100001100000
31021211210122011000
4131303101201200
52010443333014
6121340152000
715250522521
oct3563214140
91254718130
10499980384
11237253732
1211b538600
137c7791a7
144a58c848
152dd62509
hex1dcd1860

499980384 has 96 divisors (see below), whose sum is σ = 1471932000. Its totient is φ = 165100032.

The previous prime is 499980379. The next prime is 499980391. The reversal of 499980384 is 483089994.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 499980384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91522 + ... + 96830.

It is an arithmetic number, because the mean of its divisors is an integer number (15332625).

Almost surely, 2499980384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499980384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735966000).

499980384 is an abundant number, since it is smaller than the sum of its proper divisors (971951616).

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

499980384 is a wasteful number, since it uses less digits than its factorization.

499980384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 499980384 is about 22360.2411436013. The cubic root of 499980384 is about 793.6901463620.

The spelling of 499980384 in words is "four hundred ninety-nine million, nine hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1744 1962 2616 2943 3488 3924 5232 5309 5886 7848 10464 10618 11772 15696 15927 21236 23544 31392 31854 42472 47088 47781 63708 84944 94176 95562 127416 143343 169888 191124 254832 286686 382248 509664 573372 578681 764496 1146744 1157362 1528992 1736043 2293488 2314724 3472086 4586976 4629448 5208129 6944172 9258896 10416258 13888344 15624387 18517792 20832516 27776688 31248774 41665032 55553376 62497548 83330064 124995096 166660128 249990192 499980384