Search a number
-
+
36427572 = 22321735849
BaseRepresentation
bin1000101011110…
…1011100110100
32112112201020100
42022331130310
533311140242
63340434100
7621425556
oct212753464
975481210
1036427572
1119620635
1210248930
13771579c
144ba34d6
1532e854c
hex22bd734

36427572 has 36 divisors (see below), whose sum is σ = 92628900. Its totient is φ = 12070272.

The previous prime is 36427519. The next prime is 36427577. The reversal of 36427572 is 27572463.

It is a happy number.

36427572 is a `hidden beast` number, since 3 + 64 + 27 + 572 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23853456 + 12574116 = 4884^2 + 3546^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (36427577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3304 + ... + 9152.

It is an arithmetic number, because the mean of its divisors is an integer number (2573025).

Almost surely, 236427572 is an apocalyptic number.

It is an amenable number.

36427572 is an abundant number, since it is smaller than the sum of its proper divisors (56201328).

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

36427572 is a wasteful number, since it uses less digits than its factorization.

36427572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032 (or 6027 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 36427572 is about 6035.5258263054. The cubic root of 36427572 is about 331.4948164324.

The spelling of 36427572 in words is "thirty-six million, four hundred twenty-seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 173 346 519 692 1038 1557 2076 3114 5849 6228 11698 17547 23396 35094 52641 70188 105282 210564 1011877 2023754 3035631 4047508 6071262 9106893 12142524 18213786 36427572