Search a number
-
+
5781152 = 251321069
BaseRepresentation
bin10110000011011010100000
3101212201020202
4112003122200
52434444102
6323524332
7100065446
oct26033240
911781222
105781152
113299513
121b296a8
131275500
14aa6b96
15792e02
hex5836a0

5781152 has 36 divisors (see below), whose sum is σ = 12336030. Its totient is φ = 2665728.

The previous prime is 5781151. The next prime is 5781169. The reversal of 5781152 is 2511875.

It can be written as a sum of positive squares in 3 ways, for example, as 2808976 + 2972176 = 1676^2 + 1724^2 .

It is a super-3 number, since 3×57811523 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5781151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4874 + ... + 5942.

Almost surely, 25781152 is an apocalyptic number.

5781152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5781152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168015).

5781152 is an abundant number, since it is smaller than the sum of its proper divisors (6554878).

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

5781152 is a wasteful number, since it uses less digits than its factorization.

5781152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1084 counting only the distinct ones).

The product of its digits is 2800, while the sum is 29.

The square root of 5781152 is about 2404.4026285130. The cubic root of 5781152 is about 179.4753446737.

It can be divided in two parts, 578 and 1152, that multiplied together give a square (665856 = 8162).

The spelling of 5781152 in words is "five million, seven hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1069 1352 2138 2704 4276 5408 8552 13897 17104 27794 34208 55588 111176 180661 222352 361322 444704 722644 1445288 2890576 5781152