Search a number
-
+
542736 = 24323769
BaseRepresentation
bin10000100100000010000
31000120111100
42010200100
5114331421
615344400
74420215
oct2044020
91016440
10542736
11340847
12222100
1316005c
14101b0c
15aac26
hex84810

542736 has 30 divisors (see below), whose sum is σ = 1519310. Its totient is φ = 180864.

The previous prime is 542723. The next prime is 542747. The reversal of 542736 is 637245.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 518400 + 24336 = 720^2 + 156^2 .

It is an Ulam number.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 542736.

It is an unprimeable number.

542736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1741 + ... + 2028.

2542736 is an apocalyptic number.

It is an amenable number.

542736 is an abundant number, since it is smaller than the sum of its proper divisors (976574).

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

542736 is a wasteful number, since it uses less digits than its factorization.

542736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3774 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 542736 is about 736.7061829522. The cubic root of 542736 is about 81.5698273683.

The spelling of 542736 in words is "five hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3769 7538 11307 15076 22614 30152 33921 45228 60304 67842 90456 135684 180912 271368 542736