Search a number
-
+
5876288 = 261117491
BaseRepresentation
bin10110011010101001000000
3102001112202022
4112122221000
53001020123
6325541012
7100643015
oct26325100
912045668
105876288
113353a40
121b74768
1312a98c2
14acd70c
157b11c8
hex59aa40

5876288 has 56 divisors (see below), whose sum is σ = 13496544. Its totient is φ = 2508800.

The previous prime is 5876249. The next prime is 5876309. The reversal of 5876288 is 8826785.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 11723 + ... + 12213.

Almost surely, 25876288 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 5876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6748272).

5876288 is an abundant number, since it is smaller than the sum of its proper divisors (7620256).

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

5876288 is a wasteful number, since it uses less digits than its factorization.

5876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 5876288 is about 2424.1056082605. The cubic root of 5876288 is about 180.4544893356.

The spelling of 5876288 in words is "five million, eight hundred seventy-six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 491 544 704 748 982 1088 1496 1964 2992 3928 5401 5984 7856 8347 10802 11968 15712 16694 21604 31424 33388 43208 66776 86416 91817 133552 172832 183634 267104 345664 367268 534208 734536 1469072 2938144 5876288