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42305214 = 23717193307
BaseRepresentation
bin1010000101100…
…0011010111110
32221121022211210
42201120122332
541312231324
64110425250
71022405550
oct241303276
987538753
1042305214
1121975596
1212202226
1389c2b93
1458934d0
153aa9d29
hex28586be

42305214 has 64 divisors (see below), whose sum is σ = 103251456. Its totient is φ = 11280384.

The previous prime is 42305209. The next prime is 42305227. The reversal of 42305214 is 41250324.

42305214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×423052142 = 3579462263171592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 137649 + ... + 137955.

It is an arithmetic number, because the mean of its divisors is an integer number (1613304).

Almost surely, 242305214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42305214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51625728).

42305214 is an abundant number, since it is smaller than the sum of its proper divisors (60946242).

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

42305214 is a wasteful number, since it uses less digits than its factorization.

42305214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42305214 is about 6504.2458440622. The cubic root of 42305214 is about 348.4426425766.

Adding to 42305214 its reverse (41250324), we get a palindrome (83555538).

The spelling of 42305214 in words is "forty-two million, three hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 193 238 307 357 386 579 614 714 921 1158 1351 1842 2149 2702 3281 4053 4298 5219 6447 6562 8106 9843 10438 12894 15657 19686 22967 31314 36533 45934 59251 68901 73066 109599 118502 137802 177753 219198 355506 414757 829514 1007267 1244271 2014534 2488542 3021801 6043602 7050869 14101738 21152607 42305214