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290056806 = 232131518209
BaseRepresentation
bin10001010010011…
…110101001100110
3202012210102010200
4101102132221212
51043223304211
644440531330
710121304444
oct2122365146
9665712120
10290056806
11139802a76
1281180b46
1348129060
142a745b94
151a6e7b56
hex1149ea66

290056806 has 48 divisors (see below), whose sum is σ = 681364320. Its totient is φ = 88646400.

The previous prime is 290056799. The next prime is 290056829. The reversal of 290056806 is 608650092.

290056806 is a `hidden beast` number, since 2 + 90 + 0 + 568 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31230 + ... + 39438.

It is an arithmetic number, because the mean of its divisors is an integer number (14195090).

Almost surely, 2290056806 is an apocalyptic number.

290056806 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 290056806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340682160).

290056806 is an abundant number, since it is smaller than the sum of its proper divisors (391307514).

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

290056806 is a wasteful number, since it uses less digits than its factorization.

290056806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 290056806 is about 17031.0541658466. The cubic root of 290056806 is about 661.9538109387.

The spelling of 290056806 in words is "two hundred ninety million, fifty-six thousand, eight hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 151 234 302 453 906 1359 1963 2718 3926 5889 8209 11778 16418 17667 24627 35334 49254 73881 106717 147762 213434 320151 640302 960453 1239559 1920906 2479118 3718677 7437354 11156031 16114267 22312062 32228534 48342801 96685602 145028403 290056806