Search a number
-
+
290822048 = 2511275109
BaseRepresentation
bin10001010101011…
…001011110100000
3202021020021211222
4101111121132200
51043422301143
644505154212
710130642456
oct2125313640
9667207758
10290822048
1113a185a00
128148b968
134833646a
142a8a49d6
151a7e9768
hex115597a0

290822048 has 36 divisors (see below), whose sum is σ = 629346690. Its totient is φ = 132190080.

The previous prime is 290822047. The next prime is 290822057. The reversal of 290822048 is 840228092.

It can be written as a sum of positive squares in only one way, i.e., 194546704 + 96275344 = 13948^2 + 9812^2 .

It is a junction number, because it is equal to n+sod(n) for n = 290821999 and 290822017.

It is not an unprimeable number, because it can be changed into a prime (290822047) 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 5 ways as a sum of consecutive naturals, for example, 33683 + ... + 41426.

Almost surely, 2290822048 is an apocalyptic number.

It is an amenable number.

290822048 is an abundant number, since it is smaller than the sum of its proper divisors (338524642).

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

290822048 is a wasteful number, since it uses less digits than its factorization.

290822048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75141 (or 75122 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 290822048 is about 17053.5054460952. The cubic root of 290822048 is about 662.5354326842.

The spelling of 290822048 in words is "two hundred ninety million, eight hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 75109 150218 300436 600872 826199 1201744 1652398 2403488 3304796 6609592 9088189 13219184 18176378 26438368 36352756 72705512 145411024 290822048