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42684018 = 2313618971
BaseRepresentation
bin1010001011010…
…0111001110010
32222022120110120
42202310321302
541411342033
64122511110
71025544126
oct242647162
988276416
1042684018
1122104153
1212365496
138ac6420
145951586
153b321b3
hex28b4e72

42684018 has 32 divisors (see below), whose sum is σ = 93452352. Its totient is φ = 12916800.

The previous prime is 42684017. The next prime is 42684029. The reversal of 42684018 is 81048624.

42684018 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-3 number, since 3×426840183 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42684018.

It is not an unprimeable number, because it can be changed into a prime (42684011) 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 15 ways as a sum of consecutive naturals, for example, 273 + ... + 9243.

It is an arithmetic number, because the mean of its divisors is an integer number (2920386).

Almost surely, 242684018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42684018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46726176).

42684018 is an abundant number, since it is smaller than the sum of its proper divisors (50768334).

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

42684018 is a wasteful number, since it uses less digits than its factorization.

42684018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050.

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42684018 is about 6533.3006971974. The cubic root of 42684018 is about 349.4795475556.

The spelling of 42684018 in words is "forty-two million, six hundred eighty-four thousand, eighteen".

Divisors: 1 2 3 6 13 26 39 61 78 122 183 366 793 1586 2379 4758 8971 17942 26913 53826 116623 233246 349869 547231 699738 1094462 1641693 3283386 7114003 14228006 21342009 42684018