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499783680 = 211325111729
BaseRepresentation
bin11101110010100…
…001100000000000
31021211102122022200
4131302201200000
52010421034210
6121332033200
715246043164
oct3562414000
91254378280
10499783680
11237129970
1211b462800
137c70a7b6
144a53aca4
152dd240c0
hex1dca1800

499783680 has 576 divisors, whose sum is σ = 2069776800. Its totient is φ = 110100480.

The previous prime is 499783633. The next prime is 499783717. The reversal of 499783680 is 86387994.

499783680 is a `hidden beast` number, since 499 + 78 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17233906 + ... + 17233934.

Almost surely, 2499783680 is an apocalyptic number.

499783680 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 499783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034888400).

499783680 is an abundant number, since it is smaller than the sum of its proper divisors (1569993120).

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

499783680 is a wasteful number, since it uses less digits than its factorization.

499783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 499783680 is about 22355.8421894591. The cubic root of 499783680 is about 793.5860472746.

The spelling of 499783680 in words is "four hundred ninety-nine million, seven hundred eighty-three thousand, six hundred eighty".