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485904 = 24353191
BaseRepresentation
bin1110110101000010000
3220200112110
41312220100
5111022104
614225320
74062426
oct1665020
9820473
10485904
11302081
121b5240
13140223
14c9116
1598e89
hex76a10

485904 has 40 divisors (see below), whose sum is σ = 1285632. Its totient is φ = 158080.

The previous prime is 485899. The next prime is 485909. The reversal of 485904 is 409584.

485904 is nontrivially palindromic in base 15.

485904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (485899) and next prime (485909).

It is a super-2 number, since 2×4859042 = 472205394432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (485909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2449 + ... + 2639.

2485904 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 485904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642816).

485904 is an abundant number, since it is smaller than the sum of its proper divisors (799728).

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

485904 is a wasteful number, since it uses less digits than its factorization.

485904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 485904 is about 697.0681458796. The cubic root of 485904 is about 78.6170647122.

The spelling of 485904 in words is "four hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 191 212 318 382 424 573 636 764 848 1146 1272 1528 2292 2544 3056 4584 9168 10123 20246 30369 40492 60738 80984 121476 161968 242952 485904