Search a number
-
+
463056 = 24311877
BaseRepresentation
bin1110001000011010000
3212112012020
41301003100
5104304211
613531440
73636006
oct1610320
9775166
10463056
112969a0
121a3b80
131329c9
14c0a76
1592306
hex710d0

463056 has 40 divisors (see below), whose sum is σ = 1306464. Its totient is φ = 140160.

The previous prime is 463033. The next prime is 463093. The reversal of 463056 is 650364.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

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 463056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 966.

2463056 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 463056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653232).

463056 is an abundant number, since it is smaller than the sum of its proper divisors (843408).

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

463056 is a wasteful number, since it uses less digits than its factorization.

463056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 463056 is about 680.4821819857. The cubic root of 463056 is about 77.3649956225.

The spelling of 463056 in words is "four hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 877 1754 2631 3508 5262 7016 9647 10524 14032 19294 21048 28941 38588 42096 57882 77176 115764 154352 231528 463056