Search a number
-
+
5286024 = 233273417
BaseRepresentation
bin10100001010100010001000
3100221120001200
4110022202020
52323123044
6305144200
762634102
oct24124210
910846050
105286024
112a90517
12192b060
131131033
149b8572
156e6369
hex50a888

5286024 has 24 divisors (see below), whose sum is σ = 14316510. Its totient is φ = 1761984.

The previous prime is 5286023. The next prime is 5286053. The reversal of 5286024 is 4206825.

5286024 is a `hidden beast` number, since 52 + 8 + 602 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3802500 + 1483524 = 1950^2 + 1218^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×52860243 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (5286023) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 36637 + ... + 36780.

Almost surely, 25286024 is an apocalyptic number.

It is an amenable number.

5286024 is an abundant number, since it is smaller than the sum of its proper divisors (9030486).

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

5286024 is a wasteful number, since it uses less digits than its factorization.

5286024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73429 (or 73422 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5286024 is about 2299.1354897004. The cubic root of 5286024 is about 174.1979514883.

The spelling of 5286024 in words is "five million, two hundred eighty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73417 146834 220251 293668 440502 587336 660753 881004 1321506 1762008 2643012 5286024