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826845012 = 223272736421
BaseRepresentation
bin110001010010001…
…010011101010100
32010121212002010100
4301102022131110
53143133020022
6214014054100
726330031600
oct6122123524
92117762110
10826845012
11394806994
121b0aaa330
131023c1b06
147bb56500
154c8cb1ac
hex3148a754

826845012 has 108 divisors (see below), whose sum is σ = 2465007636. Its totient is φ = 232968960.

The previous prime is 826845011. The next prime is 826845037. The reversal of 826845012 is 210548628.

It can be written as a sum of positive squares in 2 ways, for example, as 346183236 + 480661776 = 18606^2 + 21924^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826845011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125562 + ... + 131982.

Almost surely, 2826845012 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 826845012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232503818).

826845012 is an abundant number, since it is smaller than the sum of its proper divisors (1638162624).

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

826845012 is a wasteful number, since it uses less digits than its factorization.

826845012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6506 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 826845012 is about 28754.9128324187. The cubic root of 826845012 is about 938.5873650987.

The spelling of 826845012 in words is "eight hundred twenty-six million, eight hundred forty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 73 84 98 126 146 147 196 219 252 292 294 438 441 511 588 657 876 882 1022 1314 1533 1764 2044 2628 3066 3577 4599 6132 6421 7154 9198 10731 12842 14308 18396 19263 21462 25684 32193 38526 42924 44947 57789 64386 77052 89894 115578 128772 134841 179788 231156 269682 314629 404523 468733 539364 629258 809046 937466 943887 1258516 1406199 1618092 1874932 1887774 2812398 2831661 3281131 3775548 4218597 5624796 5663322 6562262 8437194 9843393 11326644 13124524 16874388 19686786 22967917 29530179 39373572 45935834 59060358 68903751 91871668 118120716 137807502 206711253 275615004 413422506 826845012