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64464841 = 72312372
BaseRepresentation
bin1111010111101…
…0011111001001
311111022011010201
43311322133021
5113000333331
610221412201
71411641100
oct365723711
9144264121
1064464841
1133430431
121970a061
131048129c
1487c1037
1559d5a61
hex3d7a7c9

64464841 has 27 divisors (see below), whose sum is σ = 79637607. Its totient is φ = 52027920.

The previous prime is 64464797. The next prime is 64464847. The reversal of 64464841 is 14846446.

The square root of 64464841 is 8029.

It is a perfect power (a square), and thus also a powerful number.

64464841 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 6780816 = 7595^2 + 2604^2 .

It is not a de Polignac number, because 64464841 - 221 = 62367689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 64464841.

It is not an unprimeable number, because it can be changed into a prime (64464847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1742275 + ... + 1742311.

It is an arithmetic number, because the mean of its divisors is an integer number (2949541).

Almost surely, 264464841 is an apocalyptic number.

64464841 is the 8029-th square number.

64464841 is the 4015-th centered octagonal number.

It is an amenable number.

64464841 is a deficient number, since it is larger than the sum of its proper divisors (15172766).

64464841 is an equidigital number, since it uses as much as digits as its factorization.

64464841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

The cubic root of 64464841 is about 400.9660835778.

The spelling of 64464841 in words is "sixty-four million, four hundred sixty-four thousand, eight hundred forty-one".

Divisors: 1 7 31 37 49 217 259 961 1147 1369 1519 1813 6727 8029 9583 35557 42439 47089 56203 67081 248899 297073 1315609 1742293 2079511 9209263 64464841