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499141440 = 2635572131
BaseRepresentation
bin11101110000000…
…100101101000000
31021210020000100000
4131300010231000
52010240011230
6121310200000
715240426600
oct3560045500
91253200300
10499141440
11236830396
1211b1b3000
137c544385
144a410c00
152dc48b60
hex1dc04b40

499141440 has 504 divisors, whose sum is σ = 2086916832. Its totient is φ = 113218560.

The previous prime is 499141393. The next prime is 499141451. The reversal of 499141440 is 44141994.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 499141395 and 499141404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810175 + ... + 3810305.

It is an arithmetic number, because the mean of its divisors is an integer number (4140708).

Almost surely, 2499141440 is an apocalyptic number.

499141440 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 499141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043458416).

499141440 is an abundant number, since it is smaller than the sum of its proper divisors (1587775392).

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

499141440 is a wasteful number, since it uses less digits than its factorization.

499141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 499141440 is about 22341.4735413759. The cubic root of 499141440 is about 793.2459726948.

The spelling of 499141440 in words is "four hundred ninety-nine million, one hundred forty-one thousand, four hundred forty".