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285024 = 2532969
BaseRepresentation
bin1000101100101100000
3112110222110
41011211200
533110044
610035320
72264655
oct1054540
9473873
10285024
11185163
12118b40
139c96c
1475c2c
15596b9
hex45960

285024 has 24 divisors (see below), whose sum is σ = 748440. Its totient is φ = 94976.

The previous prime is 285023. The next prime is 285031. The reversal of 285024 is 420582.

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285023) 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 3 ways as a sum of consecutive naturals, for example, 1389 + ... + 1580.

It is an arithmetic number, because the mean of its divisors is an integer number (31185).

2285024 is an apocalyptic number.

285024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

285024 is an abundant number, since it is smaller than the sum of its proper divisors (463416).

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

285024 is a wasteful number, since it uses less digits than its factorization.

285024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 285024 is about 533.8763901878. The cubic root of 285024 is about 65.8102908551.

The spelling of 285024 in words is "two hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2969 5938 8907 11876 17814 23752 35628 47504 71256 95008 142512 285024