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505456 = 2474513
BaseRepresentation
bin1111011011001110000
3221200100121
41323121300
5112133311
614500024
74203430
oct1733160
9850317
10505456
11315836
12204614
131490b3
14d22c0
159eb71
hex7b670

505456 has 20 divisors (see below), whose sum is σ = 1119472. Its totient is φ = 216576.

The previous prime is 505447. The next prime is 505459. The reversal of 505456 is 654505.

505456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 505456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2145 + ... + 2368.

2505456 is an apocalyptic number.

505456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505456 is an abundant number, since it is smaller than the sum of its proper divisors (614016).

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

505456 is a wasteful number, since it uses less digits than its factorization.

505456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4528 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 505456 is about 710.9542882633. The cubic root of 505456 is about 79.6577041751.

It can be divided in two parts, 5054 and 56, that multiplied together give a square (283024 = 5322).

The spelling of 505456 in words is "five hundred five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 4513 9026 18052 31591 36104 63182 72208 126364 252728 505456