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285846649 = 112292532
BaseRepresentation
bin10001000010011…
…010110001111001
3201220212111212221
4101002122301321
51041134043044
644210404041
710040441104
oct2102326171
9656774787
10285846649
11137397900
127b890621
13472b393a
1429d6b73b
151a165484
hex1109ac79

285846649 has 27 divisors (see below), whose sum is σ = 331658509. Its totient is φ = 246165920.

The previous prime is 285846643. The next prime is 285846683. The reversal of 285846649 is 946648582.

The square root of 285846649 is 16907.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17935225 + 267911424 = 4235^2 + 16368^2 .

It is not a de Polignac number, because 285846649 - 23 = 285846641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 285846596 and 285846605.

It is not an unprimeable number, because it can be changed into a prime (285846641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5393307 + ... + 5393359.

Almost surely, 2285846649 is an apocalyptic number.

285846649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

285846649 is the 16907-th square number.

285846649 is the 8454-th centered octagonal number.

It is an amenable number.

285846649 is a deficient number, since it is larger than the sum of its proper divisors (45811860).

285846649 is an equidigital number, since it uses as much as digits as its factorization.

285846649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The cubic root of 285846649 is about 658.7354490555.

The spelling of 285846649 in words is "two hundred eighty-five million, eight hundred forty-six thousand, six hundred forty-nine".

Divisors: 1 11 29 53 121 319 583 841 1537 2809 3509 6413 9251 16907 30899 44573 81461 101761 185977 339889 490303 896071 2362369 5393333 9856781 25986059 285846649