Search a number
-
+
5983488 = 28327253
BaseRepresentation
bin10110110100110100000000
3102020222210200
4112310310000
53012432423
6332125200
7101600400
oct26646400
912228720
105983488
113417535
122006800
131316634
14b1a800
157d2d43
hex5b4d00

5983488 has 162 divisors, whose sum is σ = 20447154. Its totient is φ = 1677312.

The previous prime is 5983459. The next prime is 5983489. The reversal of 5983488 is 8843895.

It can be written as a sum of positive squares in only one way, i.e., 5531904 + 451584 = 2352^2 + 672^2 .

It is a super-2 number, since 2×59834882 = 71604257292288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5983489) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112870 + ... + 112922.

It is an arithmetic number, because the mean of its divisors is an integer number (126217).

Almost surely, 25983488 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 5983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223577).

5983488 is an abundant number, since it is smaller than the sum of its proper divisors (14463666).

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

5983488 is a wasteful number, since it uses less digits than its factorization.

5983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 5983488 is about 2446.1169227983. The cubic root of 5983488 is about 181.5452156092.

The spelling of 5983488 in words is "five million, nine hundred eighty-three thousand, four hundred eighty-eight".