242541828 has 18 divisors (see below), whose sum is σ = 613091934. Its totient is φ = 80847264.

The previous prime is 242541811. The next prime is 242541829. The reversal of 242541828 is 828145242.

It can be written as a sum of positive squares in only one way, i.e., 212926464 + 29615364 = 14592^2 + 5442^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6737273 = 242541828 / (2 + 4 + 2 + 5 + 4 + 1 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 242541792 and 242541801.

It is not an unprimeable number, because it can be changed into a prime (242541829) 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, 3368601 + ... + 3368672.

It is an arithmetic number, because the mean of its divisors is an integer number (34060663).

Almost surely, 2^242541828 is an apocalyptic number.

It is an amenable number.

242541828 is an abundant number, since it is smaller than the sum of its proper divisors (370550106).

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

242541828 is a wasteful number, since it uses less digits than its factorization.

242541828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6737283 (or 6737278 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 242541828 is about 15573.7544606302. The cubic root of 242541828 is about 623.6327042115.

It can be divided in two parts, 2425 and 41828, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 242541828 in words is "two hundred forty-two million, five hundred forty-one thousand, eight hundred twenty-eight".