Search a number
-
+
36464544 = 2532126613
BaseRepresentation
bin1000101100011…
…0011110100000
32112121120221200
42023012132200
533313331134
63341321200
7621641424
oct213063640
975546850
1036464544
1119646396
1210266200
13772956c
144bb2b84
153304499
hex22c67a0

36464544 has 36 divisors (see below), whose sum is σ = 103696866. Its totient is φ = 12154752.

The previous prime is 36464543. The next prime is 36464563. The reversal of 36464544 is 44546463.

36464544 is a `hidden beast` number, since 3 + 6 + 4 + 645 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35856144 + 608400 = 5988^2 + 780^2 .

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

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 = 36464499 and 36464508.

It is not an unprimeable number, because it can be changed into a prime (36464543) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 63019 + ... + 63594.

Almost surely, 236464544 is an apocalyptic number.

It is an amenable number.

36464544 is an abundant number, since it is smaller than the sum of its proper divisors (67232322).

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

36464544 is a wasteful number, since it uses less digits than its factorization.

36464544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126629 (or 126618 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 36464544 is about 6038.5879144052. The cubic root of 36464544 is about 331.6069282351.

The spelling of 36464544 in words is "thirty-six million, four hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 126613 253226 379839 506452 759678 1012904 1139517 1519356 2025808 2279034 3038712 4051616 4558068 6077424 9116136 12154848 18232272 36464544