Search a number
-
+
64630296 = 23321934651
BaseRepresentation
bin1111011010001…
…0111000011000
311111121120002200
43312202320120
5113021132141
610225130200
71413230343
oct366427030
9144546080
1064630296
1133533775
1219789960
131050b6a3
14882545a
155a19ab6
hex3da2e18

64630296 has 48 divisors (see below), whose sum is σ = 175985160. Its totient is φ = 21427200.

The previous prime is 64630289. The next prime is 64630327. The reversal of 64630296 is 69203646.

64630296 is a `hidden beast` number, since 646 + 3 + 0 + 2 + 9 + 6 = 666.

64630296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646302962 = 8354150322095232, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64630296.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 11571 + ... + 16221.

Almost surely, 264630296 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 64630296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87992580).

64630296 is an abundant number, since it is smaller than the sum of its proper divisors (111354864).

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

64630296 is a wasteful number, since it uses less digits than its factorization.

64630296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4856 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 64630296 is about 8039.2969841896. The cubic root of 64630296 is about 401.3088294096.

The spelling of 64630296 in words is "sixty-four million, six hundred thirty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 4651 6948 9302 13896 13953 18604 27906 37208 41859 55812 83718 111624 167436 334872 897643 1795286 2692929 3590572 5385858 7181144 8078787 10771716 16157574 21543432 32315148 64630296