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42426414 = 23231139547
BaseRepresentation
bin1010000111011…
…0000000101110
32221211111002200
42201312000232
541330121124
64113202330
71023422112
oct241660056
987744080
1042426414
1121a48658
12122603a6
138a360b4
1458c5742
153ad0bc9
hex287602e

42426414 has 48 divisors (see below), whose sum is σ = 95746560. Its totient is φ = 13562640.

The previous prime is 42426413. The next prime is 42426427. The reversal of 42426414 is 41462424.

It is a happy number.

42426414 is a `hidden beast` number, since 4 + 242 + 6 + 414 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42426413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77289 + ... + 77835.

It is an arithmetic number, because the mean of its divisors is an integer number (1994720).

Almost surely, 242426414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42426414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47873280).

42426414 is an abundant number, since it is smaller than the sum of its proper divisors (53320146).

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

42426414 is a wasteful number, since it uses less digits than its factorization.

42426414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42426414 is about 6513.5561715548. The cubic root of 42426414 is about 348.7750758553.

Adding to 42426414 its reverse (41462424), we get a palindrome (83888838).

The spelling of 42426414 in words is "forty-two million, four hundred twenty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 139 186 278 279 417 547 558 834 1094 1251 1641 2502 3282 4309 4923 8618 9846 12927 16957 25854 33914 38781 50871 76033 77562 101742 152066 152613 228099 305226 456198 684297 1368594 2357023 4714046 7071069 14142138 21213207 42426414