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826985268 = 22337657271
BaseRepresentation
bin110001010010101…
…100101100110100
32010122010012112000
4301102230230310
53143202012033
6214021055300
726331154524
oct6122545464
92118105460
10826985268
113948a22aa
121b0b57530
131024408c5
147bb91684
154c907a13
hex314acb34

826985268 has 24 divisors (see below), whose sum is σ = 2144036160. Its totient is φ = 275661720.

The previous prime is 826985267. The next prime is 826985287. The reversal of 826985268 is 862589628.

826985268 is a `hidden beast` number, since 8 + 26 + 98 + 526 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826985267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3828528 + ... + 3828743.

It is an arithmetic number, because the mean of its divisors is an integer number (89334840).

Almost surely, 2826985268 is an apocalyptic number.

It is an amenable number.

826985268 is an abundant number, since it is smaller than the sum of its proper divisors (1317050892).

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

826985268 is a wasteful number, since it uses less digits than its factorization.

826985268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7657284 (or 7657276 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 826985268 is about 28757.3515470392. The cubic root of 826985268 is about 938.6404323059.

The spelling of 826985268 in words is "eight hundred twenty-six million, nine hundred eighty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 7657271 15314542 22971813 30629084 45943626 68915439 91887252 137830878 206746317 275661756 413492634 826985268