Search a number
-
+
64631124 = 22322816389
BaseRepresentation
bin1111011010001…
…1000101010100
311111121121020100
43312203011110
5113021143444
610225134100
71413232635
oct366430524
9144547210
1064631124
1133534358
121978a330
131050bb8c
14882588c
155a19e69
hex3da3154

64631124 has 36 divisors (see below), whose sum is σ = 163980180. Its totient is φ = 21463680.

The previous prime is 64631117. The next prime is 64631167. The reversal of 64631124 is 42113646.

64631124 is a `hidden beast` number, since 6 + 4 + 631 + 1 + 24 = 666.

64631124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15350724 + 49280400 = 3918^2 + 7020^2 .

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

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

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, 6922 + ... + 13310.

It is an arithmetic number, because the mean of its divisors is an integer number (4555005).

Almost surely, 264631124 is an apocalyptic number.

It is an amenable number.

64631124 is an abundant number, since it is smaller than the sum of its proper divisors (99349056).

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

64631124 is a wasteful number, since it uses less digits than its factorization.

64631124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6680 (or 6675 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 64631124 is about 8039.3484810649. The cubic root of 64631124 is about 401.3105431688.

The spelling of 64631124 in words is "sixty-four million, six hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 281 562 843 1124 1686 2529 3372 5058 6389 10116 12778 19167 25556 38334 57501 76668 115002 230004 1795309 3590618 5385927 7181236 10771854 16157781 21543708 32315562 64631124