Search a number
-
+
36424908 = 22321325987
BaseRepresentation
bin1000101011110…
…0110011001100
32112112120120200
42022330303030
533311044113
63340413500
7621415032
oct212746314
975476520
1036424908
1119619633
1210247290
137714500
144ba2552
1532e7873
hex22bcccc

36424908 has 54 divisors (see below), whose sum is σ = 99718164. Its totient is φ = 11205792.

The previous prime is 36424903. The next prime is 36424951. The reversal of 36424908 is 80942463.

It is a happy number.

36424908 is a `hidden beast` number, since 3 + 642 + 4 + 9 + 0 + 8 = 666.

36424908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (36424901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3091 + ... + 9077.

Almost surely, 236424908 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 36424908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49859082).

36424908 is an abundant number, since it is smaller than the sum of its proper divisors (63293256).

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

36424908 is a wasteful number, since it uses less digits than its factorization.

36424908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6023 (or 6005 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36424908 is about 6035.3051289889. The cubic root of 36424908 is about 331.4867353401.

The spelling of 36424908 in words is "thirty-six million, four hundred twenty-four thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 5987 6084 11974 17961 23948 35922 53883 71844 77831 107766 155662 215532 233493 311324 466986 700479 933972 1011803 1400958 2023606 2801916 3035409 4047212 6070818 9106227 12141636 18212454 36424908