Search a number
-
+
5287752 = 23322712
BaseRepresentation
bin10100001010111101001000
3100221122102200
4110022331020
52323202002
6305200200
762642121
oct24127510
910848380
105287752
112a91848
121930060
131131a62
149b9048
156e6b1c
hex50af48

5287752 has 36 divisors (see below), whose sum is σ = 14374035. Its totient is φ = 1756080.

The previous prime is 5287741. The next prime is 5287783. The reversal of 5287752 is 2577825.

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 only one way, i.e., 2643876 + 2643876 = 1626^2 + 1626^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1626.

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

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19377 + ... + 19647.

Almost surely, 25287752 is an apocalyptic number.

It is an amenable number.

5287752 is an abundant number, since it is smaller than the sum of its proper divisors (9086283).

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

5287752 is a wasteful number, since it uses less digits than its factorization.

5287752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 276 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5287752 is about 2299.5112524187. The cubic root of 5287752 is about 174.2169311768.

Multiplying 5287752 by its product of digits (39200), we get a square (207279878400 = 4552802).

The spelling of 5287752 in words is "five million, two hundred eighty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 271 542 813 1084 1626 2168 2439 3252 4878 6504 9756 19512 73441 146882 220323 293764 440646 587528 660969 881292 1321938 1762584 2643876 5287752