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36848 = 247247
BaseRepresentation
bin1000111111110000
31212112202
420333300
52134343
6442332
7212300
oct107760
955482
1036848
1125759
12193a8
1313a06
14d600
15adb8
hex8ff0

36848 has 30 divisors (see below), whose sum is σ = 84816. Its totient is φ = 15456.

The previous prime is 36847. The next prime is 36857. The reversal of 36848 is 84863.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 36848.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 36848.

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, 761 + ... + 807.

236848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408).

36848 is an abundant number, since it is smaller than the sum of its proper divisors (47968).

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

36848 is a wasteful number, since it uses less digits than its factorization.

36848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 36848 is about 191.9583288112. The cubic root of 36848 is about 33.2765254632.

The spelling of 36848 in words is "thirty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 4606 5264 9212 18424 36848