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290626056 = 233872113
BaseRepresentation
bin10001010100101…
…001101000001000
3202020212100000000
4101110221220020
51043400013211
644501043000
710126165200
oct2124515010
9666770000
10290626056
1113a061726
12813b6460
13482981a6
142a853400
151a7ab656
hex11529a08

290626056 has 216 divisors, whose sum is σ = 959202270. Its totient is φ = 82301184.

The previous prime is 290626043. The next prime is 290626073. The reversal of 290626056 is 650626092.

290626056 is a `hidden beast` number, since 29 + 0 + 626 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 289340100 + 1285956 = 17010^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2906260562 = 168927008852230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 290626056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2571856 + ... + 2571968.

Almost surely, 2290626056 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 290626056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479601135).

290626056 is an abundant number, since it is smaller than the sum of its proper divisors (668576214).

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

290626056 is an equidigital number, since it uses as much as digits as its factorization.

290626056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 290626056 is about 17047.7580930749. The cubic root of 290626056 is about 662.3865663627.

Adding to 290626056 its sum of digits (36), we get a palindrome (290626092).

The spelling of 290626056 in words is "two hundred ninety million, six hundred twenty-six thousand, fifty-six".