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480484848 = 24310010101
BaseRepresentation
bin11100101000111…
…001110111110000
31020111010011022010
4130220321313300
51441001003343
6115402242520
714623024314
oct3450716760
91214104263
10480484848
11227248418
12114ab6440
137871157c
1447b55b44
152c2b0d33
hex1ca39df0

480484848 has 20 divisors (see below), whose sum is σ = 1241252648. Its totient is φ = 160161600.

The previous prime is 480484843. The next prime is 480484853. The reversal of 480484848 is 848484084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480484843) and next prime (480484853).

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 10010101 = 480484848 / (4 + 8 + 0 + 4 + 8 + 4 + 8 + 4 + 8).

480484848 is a modest number, since divided by 484848 gives 480 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 480484797 and 480484806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480484843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5005003 + ... + 5005098.

Almost surely, 2480484848 is an apocalyptic number.

480484848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480484848 is an abundant number, since it is smaller than the sum of its proper divisors (760767800).

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

480484848 is a wasteful number, since it uses less digits than its factorization.

480484848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010112 (or 10010106 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 480484848 is about 21919.9645985116. The cubic root of 480484848 is about 783.2370667072.

The spelling of 480484848 in words is "four hundred eighty million, four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 10010101 20020202 30030303 40040404 60060606 80080808 120121212 160161616 240242424 480484848