Search a number
-
+
6086944 = 25375397
BaseRepresentation
bin10111001110000100100000
3102110020201101
4113032010200
53024240234
6334244144
7102511123
oct27160440
912406641
106086944
113488236
122056654
131351756
14b463ba
15803814
hex5ce120

6086944 has 48 divisors (see below), whose sum is σ = 12669048. Its totient is φ = 2875392.

The previous prime is 6086939. The next prime is 6086947. The reversal of 6086944 is 4496806.

It can be written as a sum of positive squares in 4 ways, for example, as 6051600 + 35344 = 2460^2 + 188^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (6086947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62704 + ... + 62800.

Almost surely, 26086944 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 6086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334524).

6086944 is an abundant number, since it is smaller than the sum of its proper divisors (6582104).

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

6086944 is a wasteful number, since it uses less digits than its factorization.

6086944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 6086944 is about 2467.1732813080. The cubic root of 6086944 is about 182.5855631810.

The spelling of 6086944 in words is "six million, eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 37 53 74 97 106 148 194 212 296 388 424 592 776 848 1184 1552 1696 1961 3104 3589 3922 5141 7178 7844 10282 14356 15688 20564 28712 31376 41128 57424 62752 82256 114848 164512 190217 380434 760868 1521736 3043472 6086944