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64542618 = 23271373739
BaseRepresentation
bin1111011000110…
…1011110011010
311111110002211100
43312031132122
5113010330433
610223212230
71412413620
oct366153632
9144402740
1064542618
1133483908
1219747076
13104aa7ca
148801510
1559edb13
hex3d8d79a

64542618 has 48 divisors (see below), whose sum is σ = 161029440. Its totient is φ = 18301248.

The previous prime is 64542607. The next prime is 64542619. The reversal of 64542618 is 81624546.

64542618 is a `hidden beast` number, since 645 + 4 + 2 + 6 + 1 + 8 = 666.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (64542619) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15393 + ... + 19131.

It is an arithmetic number, because the mean of its divisors is an integer number (3354780).

Almost surely, 264542618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64542618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80514720).

64542618 is an abundant number, since it is smaller than the sum of its proper divisors (96486822).

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

64542618 is a wasteful number, since it uses less digits than its factorization.

64542618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3888 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64542618 is about 8033.8420447504. The cubic root of 64542618 is about 401.1272743139.

The spelling of 64542618 in words is "sixty-four million, five hundred forty-two thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 274 411 822 959 1233 1918 2466 2877 3739 5754 7478 8631 11217 17262 22434 26173 33651 52346 67302 78519 157038 235557 471114 512243 1024486 1536729 3073458 3585701 4610187 7171402 9220374 10757103 21514206 32271309 64542618