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490705408 = 291756377
BaseRepresentation
bin11101001111111…
…001001000000000
31021012100102021101
4131033321020000
52001110033113
6120405304144
715105633004
oct3517711000
91235312241
10490705408
11231a99266
12118405054
137a87c63b
1449256704
152d12e2dd
hex1d3f9200

490705408 has 40 divisors (see below), whose sum is σ = 1038144492. Its totient is φ = 230916096.

The previous prime is 490705373. The next prime is 490705447. The reversal of 490705408 is 804507094.

It can be written as a sum of positive squares in 2 ways, for example, as 475588864 + 15116544 = 21808^2 + 3888^2 .

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 3 ways as a sum of consecutive naturals, for example, 19485 + ... + 36892.

Almost surely, 2490705408 is an apocalyptic number.

It is an amenable number.

490705408 is an abundant number, since it is smaller than the sum of its proper divisors (547439084).

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

490705408 is an equidigital number, since it uses as much as digits as its factorization.

490705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56412 (or 56396 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 490705408 is about 22151.8714333575. The cubic root of 490705408 is about 788.7516512298.

The spelling of 490705408 in words is "four hundred ninety million, seven hundred five thousand, four hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 56377 112754 225508 451016 902032 958409 1804064 1916818 3608128 3833636 7216256 7667272 14432512 15334544 28865024 30669088 61338176 122676352 245352704 490705408