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838282837 = 7217107813
BaseRepresentation
bin110001111101110…
…010111001010101
32011102101011212111
4301331302321111
53204100022322
6215103151021
726526200200
oct6175627125
92142334774
10838282837
113a0209337
121b48a5471
13104897c62
147d492937
154d8da177
hex31f72e55

838282837 has 6 divisors (see below), whose sum is σ = 975145398. Its totient is φ = 718528104.

The previous prime is 838282829. The next prime is 838282859. The reversal of 838282837 is 738282838.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 796989361 + 41293476 = 28231^2 + 6426^2 .

It is not a de Polignac number, because 838282837 - 23 = 838282829 is a prime.

It is a super-2 number, since 2×8382828372 = 1405436229617537138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 17107813 = 838282837 / (8 + 3 + 8 + 2 + 8 + 2 + 8 + 3 + 7).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838282037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8553858 + ... + 8553955.

It is an arithmetic number, because the mean of its divisors is an integer number (162524233).

Almost surely, 2838282837 is an apocalyptic number.

It is an amenable number.

838282837 is a deficient number, since it is larger than the sum of its proper divisors (136862561).

838282837 is a wasteful number, since it uses less digits than its factorization.

838282837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107827 (or 17107820 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 838282837 is about 28953.1144611422. The cubic root of 838282837 is about 942.8954170162.

Subtracting from 838282837 its reverse (738282838), we obtain a palindrome (99999999).

It can be divided in two parts, 8382 and 82837, that added together give a palindrome (91219).

The spelling of 838282837 in words is "eight hundred thirty-eight million, two hundred eighty-two thousand, eight hundred thirty-seven".

Divisors: 1 7 49 17107813 119754691 838282837