Base | Representation |
---|---|
bin | 10001000000110… |
… | …001000111001000 |
3 | 201220001112011200 |
4 | 101000301013020 |
5 | 1041031220312 |
6 | 44153224200 |
7 | 10033656204 |
oct | 2100610710 |
9 | 656045150 |
10 | 285413832 |
11 | 137121700 |
12 | 7b702060 |
13 | 47191932 |
14 | 29c97b04 |
15 | 1a0cc0dc |
hex | 110311c8 |
285413832 has 108 divisors (see below), whose sum is σ = 854376705. Its totient is φ = 86011200.
The previous prime is 285413827. The next prime is 285413837. The reversal of 285413832 is 238314582.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (285413827) and next prime (285413837).
It can be written as a sum of positive squares in 2 ways, for example, as 172501956 + 112911876 = 13134^2 + 10626^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=11946.
It is a super-2 number, since 2×2854138322 = 162922110993848448, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (285413837) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1576782 + ... + 1576962.
Almost surely, 2285413832 is an apocalyptic number.
285413832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 285413832
285413832 is an abundant number, since it is smaller than the sum of its proper divisors (568962873).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
285413832 is a wasteful number, since it uses less digits than its factorization.
285413832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 396 (or 197 counting only the distinct ones).
The product of its digits is 46080, while the sum is 36.
The square root of 285413832 is about 16894.1952161090. The cubic root of 285413832 is about 658.4028045828.
The spelling of 285413832 in words is "two hundred eighty-five million, four hundred thirteen thousand, eight hundred thirty-two".
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