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505904 = 2474517
BaseRepresentation
bin1111011100000110000
3221200222012
41323200300
5112142104
614502052
74204640
oct1734060
9850865
10505904
11316103
12204928
13149369
14d2520
159ed6e
hex7b830

505904 has 20 divisors (see below), whose sum is σ = 1120464. Its totient is φ = 216768.

The previous prime is 505877. The next prime is 505907. The reversal of 505904 is 409505.

It is a self number, because there is not a number n which added to its sum of digits gives 505904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505904.

It is not an unprimeable number, because it can be changed into a prime (505907) by changing a digit.

505904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2147 + ... + 2370.

2505904 is an apocalyptic number.

It is an amenable number.

505904 is an abundant number, since it is smaller than the sum of its proper divisors (614560).

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

505904 is a wasteful number, since it uses less digits than its factorization.

505904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 505904 is about 711.2692879634. The cubic root of 505904 is about 79.6812315202.

The spelling of 505904 in words is "five hundred five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 4517 9034 18068 31619 36136 63238 72272 126476 252952 505904