Search a number
-
+
2488442864 = 2417233111279
BaseRepresentation
bin1001010001010010…
…1001111111110000
320102102102222212112
42110110221333300
520044020132424
61050531544452
7115444262315
oct22424517760
96372388775
102488442864
11106772aa56
1259545b128
13308713bcb
141986c2d0c
15e86e660e
hex94529ff0

2488442864 has 80 divisors (see below), whose sum is σ = 5348229120. Its totient is φ = 1115642880.

The previous prime is 2488442851. The next prime is 2488442867. The reversal of 2488442864 is 4682448842.

2488442864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488442867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1944977 + ... + 1946255.

It is an arithmetic number, because the mean of its divisors is an integer number (66852864).

Almost surely, 22488442864 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 2488442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674114560).

2488442864 is an abundant number, since it is smaller than the sum of its proper divisors (2859786256).

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

2488442864 is a wasteful number, since it uses less digits than its factorization.

2488442864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1632 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 50.

The square root of 2488442864 is about 49884.2947629813. The cubic root of 2488442864 is about 1355.1141843564.

The spelling of 2488442864 in words is "two billion, four hundred eighty-eight million, four hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 311 368 391 622 782 1244 1279 1564 2488 2558 3128 4976 5116 5287 6256 7153 10232 10574 14306 20464 21148 21743 28612 29417 42296 43486 57224 58834 84592 86972 114448 117668 121601 173944 235336 243202 347888 397769 470672 486404 500089 795538 972808 1000178 1591076 1945616 2000356 3182152 4000712 6364304 6762073 8001424 9148687 13524146 18297374 27048292 36594748 54096584 73189496 108193168 146378992 155527679 311055358 622110716 1244221432 2488442864