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36842 = 2132109
BaseRepresentation
bin1000111111101010
31212112112
420333222
52134332
6442322
7212261
oct107752
955475
1036842
1125753
12193a2
1313a00
14d5d8
15adb2
hex8fea

36842 has 12 divisors (see below), whose sum is σ = 60390. Its totient is φ = 16848.

The previous prime is 36833. The next prime is 36847. The reversal of 36842 is 24863.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22201 + 14641 = 149^2 + 121^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36842.

It is not an unprimeable number, because it can be changed into a prime (36847) 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, 284 + ... + 392.

236842 is an apocalyptic number.

36842 is a deficient number, since it is larger than the sum of its proper divisors (23548).

36842 is a wasteful number, since it uses less digits than its factorization.

36842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 36842 is about 191.9426997830. The cubic root of 36842 is about 33.2747192142.

It can be divided in two parts, 36 and 842, that added together give a palindrome (878).

The spelling of 36842 in words is "thirty-six thousand, eight hundred forty-two".

Divisors: 1 2 13 26 109 169 218 338 1417 2834 18421 36842