Search a number
-
+
67744864 = 25111711321
BaseRepresentation
bin1000000100110…
…11010001100000
311201110210111001
410002123101200
5114320313424
610420001344
71451551615
oct402332140
9151423431
1067744864
11352707a0
121a830254
131105c225
148dd650c
155e32844
hex409b460

67744864 has 48 divisors (see below), whose sum is σ = 154069776. Its totient is φ = 28979200.

The previous prime is 67744829. The next prime is 67744871. The reversal of 67744864 is 46844776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324 + ... + 11644.

It is an arithmetic number, because the mean of its divisors is an integer number (3209787).

Almost surely, 267744864 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 67744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77034888).

67744864 is an abundant number, since it is smaller than the sum of its proper divisors (86324912).

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

67744864 is a wasteful number, since it uses less digits than its factorization.

67744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11359 (or 11351 counting only the distinct ones).

The product of its digits is 903168, while the sum is 46.

The square root of 67744864 is about 8230.7268208828. The cubic root of 67744864 is about 407.6543914205.

The spelling of 67744864 in words is "sixty-seven million, seven hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 11321 22642 45284 90568 124531 181136 192457 249062 362272 384914 498124 769828 996248 1539656 1992496 2117027 3079312 3984992 4234054 6158624 8468108 16936216 33872432 67744864