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490952448 = 2833773139
BaseRepresentation
bin11101010000110…
…101011100000000
31021012210222011000
4131100311130000
52001140434243
6120414452000
715111012150
oct3520653400
91235728130
10490952448
11232147928
12118504000
137a937c0c
14492bc760
152d17c5d3
hex1d435700

490952448 has 288 divisors, whose sum is σ = 1694067200. Its totient is φ = 137355264.

The previous prime is 490952447. The next prime is 490952471. The reversal of 490952448 is 844259094.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490952443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531963 + ... + 3532101.

Almost surely, 2490952448 is an apocalyptic number.

490952448 is a gapful number since it is divisible by the number (48) 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 490952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847033600).

490952448 is an abundant number, since it is smaller than the sum of its proper divisors (1203114752).

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

490952448 is a wasteful number, since it uses less digits than its factorization.

490952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 490952448 is about 22157.4467843206. The cubic root of 490952448 is about 788.8839916761.

The spelling of 490952448 in words is "four hundred ninety million, nine hundred fifty-two thousand, four hundred forty-eight".