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825326676 = 2232171348573
BaseRepresentation
bin110001001100010…
…111110001010100
32010111222221100200
4301030113301110
53142240423201
6213521340500
726311106136
oct6114276124
92114887320
10825326676
1139396a169
121b0497730
13101cac9a5
147b87d056
154c6cb386
hex31317c54

825326676 has 36 divisors (see below), whose sum is σ = 2208964212. Its totient is φ = 258925824.

The previous prime is 825326657. The next prime is 825326683. The reversal of 825326676 is 676623528.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 421316676 + 404010000 = 20526^2 + 20100^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673675 + ... + 674898.

It is an arithmetic number, because the mean of its divisors is an integer number (61360117).

Almost surely, 2825326676 is an apocalyptic number.

It is an amenable number.

825326676 is an abundant number, since it is smaller than the sum of its proper divisors (1383637536).

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

825326676 is a wasteful number, since it uses less digits than its factorization.

825326676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348600 (or 1348595 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 825326676 is about 28728.4993690934. The cubic root of 825326676 is about 938.0125035650.

The spelling of 825326676 in words is "eight hundred twenty-five million, three hundred twenty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1348573 2697146 4045719 5394292 8091438 12137157 16182876 22925741 24274314 45851482 48548628 68777223 91702964 137554446 206331669 275108892 412663338 825326676