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64284688 = 2413378353
BaseRepresentation
bin1111010100111…
…0100000010000
311110222000000101
43311032200100
5112424102223
610213502144
71410260626
oct365164020
9143860011
1064284688
1133318046
1219641954
131041a2a0
148775516
15599c4ad
hex3d4e810

64284688 has 40 divisors (see below), whose sum is σ = 137774168. Its totient is φ = 28864512.

The previous prime is 64284659. The next prime is 64284721. The reversal of 64284688 is 88648246.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 49168144 = 3888^2 + 7012^2 .

It is a super-2 number, since 2×642846882 = 8265042222514688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3520 + ... + 11872.

Almost surely, 264284688 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 64284688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68887084).

64284688 is an abundant number, since it is smaller than the sum of its proper divisors (73489480).

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

64284688 is a wasteful number, since it uses less digits than its factorization.

64284688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8405 counting only the distinct ones).

The product of its digits is 589824, while the sum is 46.

The square root of 64284688 is about 8017.7732569586. The cubic root of 64284688 is about 400.5922227478.

The spelling of 64284688 in words is "sixty-four million, two hundred eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 8353 16706 33412 66824 108589 133648 217178 309061 434356 618122 868712 1236244 1737424 2472488 4017793 4944976 8035586 16071172 32142344 64284688