Search a number
-
+
64738116 = 22361492
BaseRepresentation
bin1111011011110…
…1001101000100
311111211001000000
43312331031010
5113033104431
610231321300
71414156602
oct366751504
9144731000
1064738116
11335a7783
1219820230
13105487a1
148852872
155a3b9e6
hex3dbd344

64738116 has 63 divisors (see below), whose sum is σ = 171007501. Its totient is φ = 21434544.

The previous prime is 64738097. The next prime is 64738151. The reversal of 64738116 is 61183746.

The square root of 64738116 is 8046.

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

64738116 is a `hidden beast` number, since 647 + 3 + 8 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7584516 + 57153600 = 2754^2 + 7560^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 434410 + ... + 434558.

Almost surely, 264738116 is an apocalyptic number.

64738116 is the 8046-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64738116

64738116 is an abundant number, since it is smaller than the sum of its proper divisors (106269385).

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

64738116 is an equidigital number, since it uses as much as digits as its factorization.

64738116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 154 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The cubic root of 64738116 is about 401.5318676316.

Multiplying 64738116 by its sum of digits (36), we get a square (2330572176 = 482762).

64738116 divided by its sum of digits (36) gives a square (1798281 = 13412).

The spelling of 64738116 in words is "sixty-four million, seven hundred thirty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 447 486 596 729 894 972 1341 1458 1788 2682 2916 4023 5364 8046 12069 16092 22201 24138 36207 44402 48276 66603 72414 88804 108621 133206 144828 199809 217242 266412 399618 434484 599427 799236 1198854 1798281 2397708 3596562 5394843 7193124 10789686 16184529 21579372 32369058 64738116