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499981000 = 23533713513
BaseRepresentation
bin11101110011010…
…001101011001000
31021211210122222211
4131303101223020
52010443343000
6121340154504
715250524361
oct3563215310
91254718884
10499981000
11237254142
1211b538a34
137c77955c
144a58cb68
152dd627ba
hex1dcd1ac8

499981000 has 64 divisors (see below), whose sum is σ = 1201664880. Its totient is φ = 194572800.

The previous prime is 499980997. The next prime is 499981021. The reversal of 499981000 is 189994.

It can be written as a sum of positive squares in 8 ways, for example, as 83576164 + 416404836 = 9142^2 + 20406^2 .

It is a super-2 number, since 2×4999810002 = 499962000722000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30244 + ... + 43756.

Almost surely, 2499981000 is an apocalyptic number.

499981000 is a gapful number since it is divisible by the number (40) 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 499981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600832440).

499981000 is an abundant number, since it is smaller than the sum of its proper divisors (701683880).

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

499981000 is a wasteful number, since it uses less digits than its factorization.

499981000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13571 (or 13557 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 40.

The square root of 499981000 is about 22360.2549180460. The cubic root of 499981000 is about 793.6904723168.

The spelling of 499981000 in words is "four hundred ninety-nine million, nine hundred eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1480 1850 3700 4625 7400 9250 13513 18500 27026 37000 54052 67565 108104 135130 270260 337825 499981 540520 675650 999962 1351300 1689125 1999924 2499905 2702600 3378250 3999848 4999810 6756500 9999620 12499525 13513000 19999240 24999050 49998100 62497625 99996200 124995250 249990500 499981000