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499142160 = 24325111931107
BaseRepresentation
bin11101110000000…
…100111000010000
31021210020001022200
4131300010320100
52010240022120
6121310203200
715240431646
oct3560047020
91253201280
10499142160
11236830990
1211b1b3500
137c5447ba
144a411196
152dc48e90
hex1dc04e10

499142160 has 480 divisors, whose sum is σ = 2005585920. Its totient is φ = 109900800.

The previous prime is 499142123. The next prime is 499142167. The reversal of 499142160 is 61241994.

It is a happy number.

499142160 is a `hidden beast` number, since 499 + 1 + 4 + 2 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (499142167) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4664827 + ... + 4664933.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2499142160 is an apocalyptic number.

499142160 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 499142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002792960).

499142160 is an abundant number, since it is smaller than the sum of its proper divisors (1506443760).

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

499142160 is a wasteful number, since it uses less digits than its factorization.

499142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 499142160 is about 22341.4896548999. The cubic root of 499142160 is about 793.2463541076.

The spelling of 499142160 in words is "four hundred ninety-nine million, one hundred forty-two thousand, one hundred sixty".