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499685760 = 27385717
BaseRepresentation
bin11101110010001…
…001100110000000
31021211020200000000
4131302021212000
52010404421020
6121330000000
715245154540
oct3562114600
91254220000
10499685760
11237072342
1211b416000
137c6a5062
144a513320
152dd05090
hex1dc89980

499685760 has 576 divisors, whose sum is σ = 2168169120. Its totient is φ = 107495424.

The previous prime is 499685729. The next prime is 499685773. The reversal of 499685760 is 67586994.

499685760 is a `hidden beast` number, since 4 + 9 + 9 + 68 + 576 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 499685697 and 499685706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29393272 + ... + 29393288.

Almost surely, 2499685760 is an apocalyptic number.

499685760 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 499685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084084560).

499685760 is an abundant number, since it is smaller than the sum of its proper divisors (1668483360).

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

499685760 is an frugal number, since it uses more digits than its factorization.

499685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 499685760 is about 22353.6520506158. The cubic root of 499685760 is about 793.5342161696.

499685760 divided by its product of nonzero digits (3265920) gives a triangular number (153 = T17).

The spelling of 499685760 in words is "four hundred ninety-nine million, six hundred eighty-five thousand, seven hundred sixty".