Search a number
-
+
3894048928 = 257117321649
BaseRepresentation
bin1110100000011010…
…0111100010100000
3101001101100011220101
43220012213202200
530433334031203
61442222552144
7165332604220
oct35006474240
911041304811
103894048928
1117190a8660
12908138654
134a09a6283
1428d254080
1517bce741d
hexe81a78a0

3894048928 has 96 divisors (see below), whose sum is σ = 9689500800. Its totient is φ = 1496309760.

The previous prime is 3894048901. The next prime is 3894048929. The reversal of 3894048928 is 8298404983.

It is not an unprimeable number, because it can be changed into a prime (3894048929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169048 + ... + 190696.

It is an arithmetic number, because the mean of its divisors is an integer number (100932300).

Almost surely, 23894048928 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 3894048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4844750400).

3894048928 is an abundant number, since it is smaller than the sum of its proper divisors (5795451872).

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

3894048928 is a wasteful number, since it uses less digits than its factorization.

3894048928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750 (or 21742 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The square root of 3894048928 is about 62402.3150852595. The cubic root of 3894048928 is about 1573.2598808634.

The spelling of 3894048928 in words is "three billion, eight hundred ninety-four million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 73 77 88 112 146 154 176 224 292 308 352 511 584 616 803 1022 1168 1232 1606 2044 2336 2464 3212 4088 5621 6424 8176 11242 12848 16352 21649 22484 25696 43298 44968 86596 89936 151543 173192 179872 238139 303086 346384 476278 606172 692768 952556 1212344 1580377 1666973 1905112 2424688 3160754 3333946 3810224 4849376 6321508 6667892 7620448 11062639 12643016 13335784 17384147 22125278 25286032 26671568 34768294 44250556 50572064 53343136 69536588 88501112 121689029 139073176 177002224 243378058 278146352 354004448 486756116 556292704 973512232 1947024464 3894048928