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490096944 = 2432171941257
BaseRepresentation
bin11101001101100…
…100100100110000
31021011012111121200
4131031210210300
52000431100234
6120344251200
715100520031
oct3515444460
91234174550
10490096944
112317130a7
12118170b00
137a6c86bc
1449138a88
152d05dd99
hex1d364930

490096944 has 240 divisors, whose sum is σ = 1572086880. Its totient is φ = 141557760.

The previous prime is 490096939. The next prime is 490096967. The reversal of 490096944 is 449690094.

It is a self number, because there is not a number n which added to its sum of digits gives 490096944.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1906864 + ... + 1907120.

It is an arithmetic number, because the mean of its divisors is an integer number (6550362).

Almost surely, 2490096944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490096944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786043440).

490096944 is an abundant number, since it is smaller than the sum of its proper divisors (1081989936).

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

490096944 is a wasteful number, since it uses less digits than its factorization.

490096944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 490096944 is about 22138.1332546355. The cubic root of 490096944 is about 788.4255047748.

The spelling of 490096944 in words is "four hundred ninety million, ninety-six thousand, nine hundred forty-four".