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827918845 = 51337344249
BaseRepresentation
bin110001010110010…
…000100111111101
32010200212122010221
4301112100213331
53143421400340
6214053101341
726342123365
oct6126204775
92120778127
10827918845
1139537a756
121b1327851
131026a9810
147bd559a5
154ca3e44a
hex315909fd

827918845 has 16 divisors (see below), whose sum is σ = 1098846000. Its totient is φ = 594860544.

The previous prime is 827918843. The next prime is 827918867. The reversal of 827918845 is 548819728.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 31606884 + 796311961 = 5622^2 + 28219^2 .

It is not a de Polignac number, because 827918845 - 21 = 827918843 is a prime.

It is a super-2 number, since 2×8279188452 = 1370899227812268050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 827918792 and 827918801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827918843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169720 + ... + 174529.

It is an arithmetic number, because the mean of its divisors is an integer number (68677875).

Almost surely, 2827918845 is an apocalyptic number.

It is an amenable number.

827918845 is a deficient number, since it is larger than the sum of its proper divisors (270927155).

827918845 is a wasteful number, since it uses less digits than its factorization.

827918845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344304.

The product of its digits is 1290240, while the sum is 52.

The square root of 827918845 is about 28773.5789397148. The cubic root of 827918845 is about 938.9935073495.

The spelling of 827918845 in words is "eight hundred twenty-seven million, nine hundred eighteen thousand, eight hundred forty-five".

Divisors: 1 5 13 37 65 185 481 2405 344249 1721245 4475237 12737213 22376185 63686065 165583769 827918845