Search a number
-
+
36423216 = 243384313
BaseRepresentation
bin1000101011110…
…0011000110000
32112112111021000
42022330120300
533311020331
63340402000
7621410064
oct212743060
975474230
1036423216
1119618335
1210246300
1377137cb
144ba1aa4
1532e70e6
hex22bc630

36423216 has 40 divisors (see below), whose sum is σ = 104549360. Its totient is φ = 12140928.

The previous prime is 36423151. The next prime is 36423223. The reversal of 36423216 is 61232463.

36423216 is a `hidden beast` number, since 3 + 642 + 3 + 2 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 36423216.

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 7 ways as a sum of consecutive naturals, for example, 41725 + ... + 42588.

It is an arithmetic number, because the mean of its divisors is an integer number (2613734).

Almost surely, 236423216 is an apocalyptic number.

36423216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36423216 is an abundant number, since it is smaller than the sum of its proper divisors (68126144).

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

36423216 is a wasteful number, since it uses less digits than its factorization.

36423216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84330 (or 84318 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 36423216 is about 6035.1649521782. The cubic root of 36423216 is about 331.4816025498.

Adding to 36423216 its reverse (61232463), we get a palindrome (97655679).

The spelling of 36423216 in words is "thirty-six million, four hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 84313 168626 252939 337252 505878 674504 758817 1011756 1349008 1517634 2023512 2276451 3035268 4047024 4552902 6070536 9105804 12141072 18211608 36423216