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286376442 = 231159251293
BaseRepresentation
bin10001000100011…
…100000111111010
3201221212102121220
4101010130013322
51041303021232
644230012510
710045105512
oct2104340772
9657772556
10286376442
11137719950
127baa7136
134743ab21
142a068842
151a21c42c
hex1111c1fa

286376442 has 64 divisors (see below), whose sum is σ = 640120320. Its totient is φ = 84680000.

The previous prime is 286376413. The next prime is 286376449. The reversal of 286376442 is 244673682.

It is a super-2 number, since 2×2863764422 = 164022933065158728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286376394 and 286376403.

It is not an unprimeable number, because it can be changed into a prime (286376449) 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 31 ways as a sum of consecutive naturals, for example, 977248 + ... + 977540.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 2286376442 is an apocalyptic number.

286376442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 286376442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320060160).

286376442 is an abundant number, since it is smaller than the sum of its proper divisors (353743878).

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

286376442 is a wasteful number, since it uses less digits than its factorization.

286376442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619.

The product of its digits is 387072, while the sum is 42.

The square root of 286376442 is about 16922.6606064177. The cubic root of 286376442 is about 659.1421683490.

The spelling of 286376442 in words is "two hundred eighty-six million, three hundred seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 251 293 354 502 586 649 753 879 1298 1506 1758 1947 2761 3223 3894 5522 6446 8283 9669 14809 16566 17287 19338 29618 34574 44427 51861 73543 88854 103722 147086 162899 190157 220629 325798 380314 441258 488697 570471 808973 977394 1140942 1617946 2426919 4339037 4853838 8678074 13017111 26034222 47729407 95458814 143188221 286376442