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36828 = 22331131
BaseRepresentation
bin1000111111011100
31212112000
420333130
52134303
6442300
7212241
oct107734
955460
1036828
1125740
1219390
13139bc
14d5c8
15ada3
hex8fdc

36828 has 48 divisors (see below), whose sum is σ = 107520. Its totient is φ = 10800.

The previous prime is 36821. The next prime is 36833. The reversal of 36828 is 82863.

Multipling 36828 by its reverse (82863), we get a square (3051678564 = 552422).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

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 36828.

It is not an unprimeable number, because it can be changed into a prime (36821) by changing a digit.

36828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1173 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (2240).

236828 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 36828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53760).

36828 is an abundant number, since it is smaller than the sum of its proper divisors (70692).

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

36828 is a wasteful number, since it uses less digits than its factorization.

36828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 36828 is about 191.9062271006. The cubic root of 36828 is about 33.2705038704.

The spelling of 36828 in words is "thirty-six thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828