Search a number
-
+
542055040 = 275846961
BaseRepresentation
bin100000010011110…
…001101010000000
31101202222020201121
4200103301222000
52102231230130
6125442042024
716301251252
oct4023615200
91352866647
10542055040
11258a80a7a
12131649314
13883bb137
1451dc1cd2
15328c3d7a
hex204f1a80

542055040 has 32 divisors (see below), whose sum is σ = 1295851860. Its totient is φ = 216821760.

The previous prime is 542054993. The next prime is 542055043. The reversal of 542055040 is 40550245.

It can be written as a sum of positive squares in 2 ways, for example, as 501401664 + 40653376 = 22392^2 + 6376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 542054996 and 542055014.

It is not an unprimeable number, because it can be changed into a prime (542055043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 422841 + ... + 424120.

Almost surely, 2542055040 is an apocalyptic number.

It is an amenable number.

542055040 is an abundant number, since it is smaller than the sum of its proper divisors (753796820).

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

542055040 is an equidigital number, since it uses as much as digits as its factorization.

542055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846980 (or 846968 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 542055040 is about 23282.0755088544. The cubic root of 542055040 is about 815.3569841391.

The spelling of 542055040 in words is "five hundred forty-two million, fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 846961 1693922 3387844 4234805 6775688 8469610 13551376 16939220 27102752 33878440 54205504 67756880 108411008 135513760 271027520 542055040