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542433042 = 232177124967
BaseRepresentation
bin100000010101001…
…101111100010010
31101210200110020200
4200111031330102
52102330324132
6125454120030
716304414304
oct4025157422
91353613220
10542433042
11259209a78
121317b0016
13884c11c8
145207d974
153294ad7c
hex2054df12

542433042 has 48 divisors (see below), whose sum is σ = 1261982592. Its totient is φ = 167771520.

The previous prime is 542433041. The next prime is 542433107. The reversal of 542433042 is 240334245.

It is a junction number, because it is equal to n+sod(n) for n = 542432997 and 542433015.

It is not an unprimeable number, because it can be changed into a prime (542433041) 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 23 ways as a sum of consecutive naturals, for example, 9243 + ... + 34209.

It is an arithmetic number, because the mean of its divisors is an integer number (26291304).

Almost surely, 2542433042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542433042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630991296).

542433042 is an abundant number, since it is smaller than the sum of its proper divisors (719549550).

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

542433042 is a wasteful number, since it uses less digits than its factorization.

542433042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25063 (or 25060 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 542433042 is about 23290.1919700118. The cubic root of 542433042 is about 815.5464697898.

Adding to 542433042 its reverse (240334245), we get a palindrome (782767287).

The spelling of 542433042 in words is "five hundred forty-two million, four hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 2414 3621 7242 10863 21726 24967 49934 74901 149802 224703 424439 449406 848878 1273317 1772657 2546634 3545314 3819951 5317971 7639902 10635942 15953913 30135169 31907826 60270338 90405507 180811014 271216521 542433042