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542837430 = 23358324223
BaseRepresentation
bin100000010110110…
…000101010110110
31101211102222222000
4200112300222312
52102431244210
6125510520130
716311020262
oct4026605266
91354388860
10542837430
11259465883
12131966046
13886032a5
14521470a2
15329caac0
hex205b0ab6

542837430 has 64 divisors (see below), whose sum is σ = 1465067520. Its totient is φ = 143006688.

The previous prime is 542837419. The next prime is 542837437. The reversal of 542837430 is 34738245.

It is a happy number.

542837430 is a `hidden beast` number, since 542 + 83 + 7 + 4 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542837437) 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 31 ways as a sum of consecutive naturals, for example, 10299 + ... + 34521.

It is an arithmetic number, because the mean of its divisors is an integer number (22891680).

Almost surely, 2542837430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542837430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732533760).

542837430 is an abundant number, since it is smaller than the sum of its proper divisors (922230090).

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

542837430 is a wasteful number, since it uses less digits than its factorization.

542837430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24322 (or 24316 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 542837430 is about 23298.8718611009. The cubic root of 542837430 is about 815.7490848339.

The spelling of 542837430 in words is "five hundred forty-two million, eight hundred thirty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 22410 24223 48446 72669 121115 145338 218007 242230 363345 436014 654021 726690 1090035 1308042 2010509 2180070 3270105 4021018 6031527 6540210 10052545 12063054 18094581 20105090 30157635 36189162 54283743 60315270 90472905 108567486 180945810 271418715 542837430