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827745138 = 232119194549
BaseRepresentation
bin110001010101100…
…110001101110010
32010200112210212100
4301111212031302
53143400321023
6214045241230
726340501063
oct6125461562
92120483770
10827745138
113952711a0
121b1263216
1310264872c
147bd0c56a
154ca07c43
hex31566372

827745138 has 48 divisors (see below), whose sum is σ = 1959048000. Its totient is φ = 250503840.

The previous prime is 827745131. The next prime is 827745143. The reversal of 827745138 is 831547728.

827745138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 827745093 and 827745102.

It is not an unprimeable number, because it can be changed into a prime (827745131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179688 + ... + 184236.

It is an arithmetic number, because the mean of its divisors is an integer number (40813500).

Almost surely, 2827745138 is an apocalyptic number.

827745138 is an abundant number, since it is smaller than the sum of its proper divisors (1131302862).

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

827745138 is a wasteful number, since it uses less digits than its factorization.

827745138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5484 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 827745138 is about 28770.5602656605. The cubic root of 827745138 is about 938.9278321710.

The spelling of 827745138 in words is "eight hundred twenty-seven million, seven hundred forty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 919 1838 2757 4549 5514 8271 9098 10109 13647 16542 20218 27294 30327 40941 50039 60654 81882 90981 100078 150117 181962 300234 450351 900702 4180531 8361062 12541593 25083186 37624779 45985841 75249558 91971682 137957523 275915046 413872569 827745138