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5765328 = 243240037
BaseRepresentation
bin10101111111100011010000
3101211220112200
4111333203100
52433442303
6323323200
7100001352
oct25774320
911756480
105765328
113288638
121b20500
13126b24a
14aa10d2
1578d3a3
hex57f8d0

5765328 has 30 divisors (see below), whose sum is σ = 16135314. Its totient is φ = 1921728.

The previous prime is 5765327. The next prime is 5765351. The reversal of 5765328 is 8235675.

It can be written as a sum of positive squares in only one way, i.e., 5419584 + 345744 = 2328^2 + 588^2 .

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

It is a d-powerful number, because it can be written as 52 + 78 + 6 + 53 + 35 + 26 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 5765292 and 5765301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5765323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19875 + ... + 20162.

Almost surely, 25765328 is an apocalyptic number.

It is an amenable number.

5765328 is an abundant number, since it is smaller than the sum of its proper divisors (10369986).

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

5765328 is a wasteful number, since it uses less digits than its factorization.

5765328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40051 (or 40042 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5765328 is about 2401.1097434311. The cubic root of 5765328 is about 179.3114434878.

The spelling of 5765328 in words is "five million, seven hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40037 80074 120111 160148 240222 320296 360333 480444 640592 720666 960888 1441332 1921776 2882664 5765328