Search a number
-
+
290973056 = 2711218787
BaseRepresentation
bin10001010101111…
…110010110000000
3202021111221222212
4101111332112000
51043442114211
644512321252
710132141643
oct2125762600
9667457885
10290973056
1113a279400
1281543228
134838a10a
142a903a5a
151a82938b
hex1157e580

290973056 has 48 divisors (see below), whose sum is σ = 637195020. Its totient is φ = 132253440.

The previous prime is 290973047. The next prime is 290973061. The reversal of 290973056 is 650379092.

It is a congruent number.

It is an unprimeable number.

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, 6095 + ... + 24881.

Almost surely, 2290973056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318597510).

290973056 is an abundant number, since it is smaller than the sum of its proper divisors (346221964).

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

290973056 is a wasteful number, since it uses less digits than its factorization.

290973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 290973056 is about 17057.9323483240. The cubic root of 290973056 is about 662.6500856594.

The spelling of 290973056 in words is "two hundred ninety million, nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 7744 15488 18787 37574 75148 150296 206657 300592 413314 601184 826628 1202368 1653256 2273227 2404736 3306512 4546454 6613024 9092908 13226048 18185816 26452096 36371632 72743264 145486528 290973056