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499848960 = 283513171931
BaseRepresentation
bin11101110010110…
…001011100000000
31021211112221212110
4131302301130000
52010430131320
6121333255320
715246434412
oct3562613400
91254487773
10499848960
11237173a16
1211b494540
137c731420
144a5569b2
152dd385e0
hex1dcb1700

499848960 has 576 divisors, whose sum is σ = 1977937920. Its totient is φ = 106168320.

The previous prime is 499848953. The next prime is 499848967. The reversal of 499848960 is 69848994.

It is an interprime number because it is at equal distance from previous prime (499848953) and next prime (499848967).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 499848960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (499848967) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16124145 + ... + 16124175.

It is an arithmetic number, because the mean of its divisors is an integer number (3433920).

Almost surely, 2499848960 is an apocalyptic number.

499848960 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 499848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988968960).

499848960 is an abundant number, since it is smaller than the sum of its proper divisors (1478088960).

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

499848960 is a wasteful number, since it uses less digits than its factorization.

499848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The square root of 499848960 is about 22357.3021628281. The cubic root of 499848960 is about 793.6205975837.

The spelling of 499848960 in words is "four hundred ninety-nine million, eight hundred forty-eight thousand, nine hundred sixty".