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286829046 = 23372108401
BaseRepresentation
bin10001000110001…
…010100111110110
3201222201102111000
4101012022213312
51041412012141
644243424130
710052002200
oct2106124766
9658642430
10286829046
111379a89a9
1280085046
1347568b3a
142a145770
151a2ab5b6
hex1118a9f6

286829046 has 48 divisors (see below), whose sum is σ = 741469680. Its totient is φ = 81950400.

The previous prime is 286829041. The next prime is 286829087. The reversal of 286829046 is 640928682.

286829046 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 286828992 and 286829010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286829041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51555 + ... + 56846.

It is an arithmetic number, because the mean of its divisors is an integer number (15447285).

Almost surely, 2286829046 is an apocalyptic number.

286829046 is an abundant number, since it is smaller than the sum of its proper divisors (454640634).

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

286829046 is a wasteful number, since it uses less digits than its factorization.

286829046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108426 (or 108413 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 286829046 is about 16936.0280467411. The cubic root of 286829046 is about 659.4892329239.

The spelling of 286829046 in words is "two hundred eighty-six million, eight hundred twenty-nine thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 108401 216802 325203 650406 758807 975609 1517614 1951218 2276421 2926827 4552842 5311649 5853654 6829263 10623298 13658526 15934947 20487789 31869894 40975578 47804841 95609682 143414523 286829046