Search a number
-
+
826840206 = 232433133413
BaseRepresentation
bin110001010010001…
…001010010001110
32010121211211112100
4301102021102032
53143132341311
6214014015530
726330011563
oct6122112216
92117754470
10826840206
11394803315
121b0aa75a6
131023bc87a
147bb5486a
154c8c9a56
hex3148948e

826840206 has 48 divisors (see below), whose sum is σ = 1839545136. Its totient is φ = 268265088.

The previous prime is 826840193. The next prime is 826840207. The reversal of 826840206 is 602048628.

826840206 is nontrivially palindromic in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826840207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240556 + ... + 243968.

It is an arithmetic number, because the mean of its divisors is an integer number (38323857).

Almost surely, 2826840206 is an apocalyptic number.

826840206 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

826840206 is an abundant number, since it is smaller than the sum of its proper divisors (1012704930).

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

826840206 is a wasteful number, since it uses less digits than its factorization.

826840206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 826840206 is about 28754.8292639689. The cubic root of 826840206 is about 938.5855465960.

The spelling of 826840206 in words is "eight hundred twenty-six million, eight hundred forty thousand, two hundred six".

Divisors: 1 2 3 6 9 18 43 86 129 258 313 387 626 774 939 1878 2817 3413 5634 6826 10239 13459 20478 26918 30717 40377 61434 80754 121131 146759 242262 293518 440277 880554 1068269 1320831 2136538 2641662 3204807 6409614 9614421 19228842 45935567 91871134 137806701 275613402 413420103 826840206