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542540232 = 233213579637
BaseRepresentation
bin100000010101101…
…000000111001000
31101210212220021200
4200111220013020
52102342241412
6125500304200
716305341643
oct4025500710
91353786250
10542540232
11259282563
12131842060
138852ac30
14520aaa5a
153296c9dc
hex205681c8

542540232 has 48 divisors (see below), whose sum is σ = 1582411740. Its totient is φ = 166935168.

The previous prime is 542540203. The next prime is 542540237. The reversal of 542540232 is 232045245.

It is a happy number.

542540232 is a `hidden beast` number, since 5 + 425 + 4 + 0 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 461648196 + 80892036 = 21486^2 + 8994^2 .

It is a super-2 number, since 2×5425402322 = 588699806677227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542540196 and 542540205.

It is not an unprimeable number, because it can be changed into a prime (542540237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288883 + ... + 290754.

Almost surely, 2542540232 is an apocalyptic number.

542540232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

542540232 is an abundant number, since it is smaller than the sum of its proper divisors (1039871508).

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

542540232 is a wasteful number, since it uses less digits than its factorization.

542540232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579662 (or 579655 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 542540232 is about 23292.4930396040. The cubic root of 542540232 is about 815.6001862007.

Adding to 542540232 its reverse (232045245), we get a palindrome (774585477).

The spelling of 542540232 in words is "five hundred forty-two million, five hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 579637 1159274 1738911 2318548 3477822 4637096 5216733 6955644 7535281 10433466 13911288 15070562 20866932 22605843 30141124 41733864 45211686 60282248 67817529 90423372 135635058 180846744 271270116 542540232