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542416314 = 2311172321019
BaseRepresentation
bin100000010101001…
…001110110111010
31101210122121022010
4200111021312322
52102324310224
6125453510350
716304314446
oct4025116672
91353577263
10542416314
112591a8450
121317a23b6
13884b66cb
1452077826
1532945e29
hex20549dba

542416314 has 64 divisors (see below), whose sum is σ = 1307612160. Its totient is φ = 147966720.

The previous prime is 542416307. The next prime is 542416333. The reversal of 542416314 is 413614245.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15297 + ... + 36315.

It is an arithmetic number, because the mean of its divisors is an integer number (20431440).

Almost surely, 2542416314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542416314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653806080).

542416314 is an abundant number, since it is smaller than the sum of its proper divisors (765195846).

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

542416314 is a wasteful number, since it uses less digits than its factorization.

542416314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21075.

The product of its digits is 11520, while the sum is 30.

The square root of 542416314 is about 23289.8328461155. The cubic root of 542416314 is about 815.5380862041.

The spelling of 542416314 in words is "five hundred forty-two million, four hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 22 23 33 34 46 51 66 69 102 138 187 253 374 391 506 561 759 782 1122 1173 1518 2346 4301 8602 12903 21019 25806 42038 63057 126114 231209 357323 462418 483437 693627 714646 966874 1071969 1387254 1450311 2143938 2900622 3930553 5317807 7861106 8218429 10635614 11791659 15953421 16436858 23583318 24655287 31906842 49310574 90402719 180805438 271208157 542416314