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36441828 = 22327331381
BaseRepresentation
bin1000101100000…
…0111011100100
32112120102210100
42023000323210
533312114303
63341024100
7621515253
oct213007344
975512710
1036441828
1119630315
1210255030
13771c117
144ba879a
1532ec8a3
hex22c0ee4

36441828 has 36 divisors (see below), whose sum is σ = 92309308. Its totient is φ = 12121920.

The previous prime is 36441817. The next prime is 36441857. The reversal of 36441828 is 82814463.

36441828 is a `hidden beast` number, since 3 + 644 + 1 + 8 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 8054244 = 5328^2 + 2838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36441792 and 36441801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25698 + ... + 27078.

Almost surely, 236441828 is an apocalyptic number.

It is an amenable number.

36441828 is an abundant number, since it is smaller than the sum of its proper divisors (55867480).

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

36441828 is a wasteful number, since it uses less digits than its factorization.

36441828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2119 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 36441828 is about 6036.7067180707. The cubic root of 36441828 is about 331.5380545027.

The spelling of 36441828 in words is "thirty-six million, four hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 733 1381 1466 2199 2762 2932 4143 4398 5524 6597 8286 8796 12429 13194 16572 24858 26388 49716 1012273 2024546 3036819 4049092 6073638 9110457 12147276 18220914 36441828