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499981464 = 233319112119
BaseRepresentation
bin11101110011010…
…001110010011000
31021211210200122000
4131303101302120
52010443401324
6121340201000
715250525623
oct3563216230
91254720560
10499981464
11237254524
1211b539160
137c779828
144a58cdba
152dd629c9
hex1dcd1c98

499981464 has 64 divisors (see below), whose sum is σ = 1396224000. Its totient is φ = 165774240.

The previous prime is 499981457. The next prime is 499981519. The reversal of 499981464 is 464189994.

It is a happy number.

499981464 is a `hidden beast` number, since 4 + 99 + 98 + 1 + 464 = 666.

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

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 499981464.

It is a congruent number.

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, 35197 + ... + 47315.

It is an arithmetic number, because the mean of its divisors is an integer number (21816000).

Almost surely, 2499981464 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 499981464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698112000).

499981464 is an abundant number, since it is smaller than the sum of its proper divisors (896242536).

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

499981464 is a wasteful number, since it uses less digits than its factorization.

499981464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12315 counting only the distinct ones).

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

The square root of 499981464 is about 22360.2652935961. The cubic root of 499981464 is about 793.6907178409.

The spelling of 499981464 in words is "four hundred ninety-nine million, nine hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 191 216 382 573 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 12119 13752 20628 24238 36357 41256 48476 72714 96952 109071 145428 218142 290856 327213 436284 654426 872568 1308852 2314729 2617704 4629458 6944187 9258916 13888374 18517832 20832561 27776748 41665122 55553496 62497683 83330244 124995366 166660488 249990732 499981464