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826086020 = 225277149113
BaseRepresentation
bin110001001111010…
…001001010000100
32010120102111222112
4301033101022010
53142434223040
6213545520152
726320421024
oct6117211204
92116374875
10826086020
11394338721
121b07a3058
131021b74c6
147b9d9a84
154c7cb365
hex313d1284

826086020 has 24 divisors (see below), whose sum is σ = 1741055064. Its totient is φ = 329239296.

The previous prime is 826085993. The next prime is 826086043. The reversal of 826086020 is 20680628.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42198016 + 783888004 = 6496^2 + 27998^2 .

It is a super-2 number, since 2×8260860202 = 1364836224878880800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69017 + ... + 80096.

It is an arithmetic number, because the mean of its divisors is an integer number (72543961).

Almost surely, 2826086020 is an apocalyptic number.

It is an amenable number.

826086020 is an abundant number, since it is smaller than the sum of its proper divisors (914969044).

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

826086020 is a wasteful number, since it uses less digits than its factorization.

826086020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149399 (or 149397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 826086020 is about 28741.7121967359. The cubic root of 826086020 is about 938.3000890168.

The spelling of 826086020 in words is "eight hundred twenty-six million, eighty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 149113 298226 596452 745565 1491130 2982260 41304301 82608602 165217204 206521505 413043010 826086020