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3064249056 = 253116174703
BaseRepresentation
bin1011011010100100…
…1011101011100000
321220112220222110210
42312221023223200
522233421432211
61224021254120
7135635454501
oct26651135340
97815828423
103064249056
111332763740
12716264340
1339aabb52b
14210d6cba8
1512e0359a6
hexb6a4bae0

3064249056 has 96 divisors (see below), whose sum is σ = 8790985728. Its totient is φ = 926858240.

The previous prime is 3064249049. The next prime is 3064249057. The reversal of 3064249056 is 6509424603.

3064249056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30642490562 = 18779244554393782272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064249057) 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, 649201 + ... + 653903.

It is an arithmetic number, because the mean of its divisors is an integer number (91572768).

Almost surely, 23064249056 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 3064249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395492864).

3064249056 is an abundant number, since it is smaller than the sum of its proper divisors (5726736672).

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

3064249056 is a wasteful number, since it uses less digits than its factorization.

3064249056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3064249056 is about 55355.6596564434. The cubic root of 3064249056 is about 1452.4728404108.

The spelling of 3064249056 in words is "three billion, sixty-four million, two hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 617 1056 1234 1851 2468 3702 4703 4936 6787 7404 9406 9872 13574 14109 14808 18812 19744 20361 27148 28218 29616 37624 40722 51733 54296 56436 59232 75248 81444 103466 108592 112872 150496 155199 162888 206932 217184 225744 310398 325776 413864 451488 620796 651552 827728 1241592 1655456 2483184 2901751 4966368 5803502 8705253 11607004 17410506 23214008 31919261 34821012 46428016 63838522 69642024 92856032 95757783 127677044 139284048 191515566 255354088 278568096 383031132 510708176 766062264 1021416352 1532124528 3064249056