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826311040 = 2751291111
BaseRepresentation
bin110001010000001…
…000000110000000
32010120211221122121
4301100020012000
53143013423130
6213554414024
726322346042
oct6120100600
92116757577
10826311040
11394481795
121b0891314
13102265a59
147ba57a92
154c822d7a
hex31408180

826311040 has 32 divisors (see below), whose sum is σ = 1975401360. Its totient is φ = 330524160.

The previous prime is 826311037. The next prime is 826311053. The reversal of 826311040 is 40113628.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 826310996 and 826311014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 644916 + ... + 646195.

Almost surely, 2826311040 is an apocalyptic number.

826311040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826311040 is an abundant number, since it is smaller than the sum of its proper divisors (1149090320).

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

826311040 is a wasteful number, since it uses less digits than its factorization.

826311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291130 (or 1291118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 826311040 is about 28745.6264499489. The cubic root of 826311040 is about 938.3852767225.

Adding to 826311040 its reverse (40113628), we get a palindrome (866424668).

The spelling of 826311040 in words is "eight hundred twenty-six million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1291111 2582222 5164444 6455555 10328888 12911110 20657776 25822220 41315552 51644440 82631104 103288880 165262208 206577760 413155520 826311040