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5889312 = 2532112132
BaseRepresentation
bin10110011101110100100000
3102002012121200
4112131310200
53001424222
6330121200
7101026002
oct26356440
912065550
105889312
113362800
121b80200
1312b2800
14ad4372
157b4eac
hex59dd20

5889312 has 162 divisors, whose sum is σ = 19933641. Its totient is φ = 1647360.

The previous prime is 5889283. The next prime is 5889313. The reversal of 5889312 is 2139885.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 5035536 + 853776 = 2244^2 + 924^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1716.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (17280) is a multiple of the sum of its prime factors (64).

It is not an unprimeable number, because it can be changed into a prime (5889313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 453018 + ... + 453030.

Almost surely, 25889312 is an apocalyptic number.

5889312 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 5889312

5889312 is an abundant number, since it is smaller than the sum of its proper divisors (14044329).

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

5889312 is a wasteful number, since it uses less digits than its factorization.

5889312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 5889312 is about 2426.7904730322. The cubic root of 5889312 is about 180.5877086443.

The spelling of 5889312 in words is "five million, eight hundred eighty-nine thousand, three hundred twelve".