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42778362 = 23111394663
BaseRepresentation
bin1010001100101…
…1111011111010
32222111100212210
42203023323322
541422401422
64124515550
71026416154
oct243137372
988440783
1042778362
1122169020
12123abbb6
138b2a353
145977ad4
153b5010c
hex28cbefa

42778362 has 32 divisors (see below), whose sum is σ = 94026240. Its totient is φ = 12867120.

The previous prime is 42778349. The next prime is 42778369. The reversal of 42778362 is 26387724.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 42778362.

It is not an unprimeable number, because it can be changed into a prime (42778369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6843 + ... + 11505.

It is an arithmetic number, because the mean of its divisors is an integer number (2938320).

Almost surely, 242778362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42778362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47013120).

42778362 is an abundant number, since it is smaller than the sum of its proper divisors (51247878).

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

42778362 is a wasteful number, since it uses less digits than its factorization.

42778362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818.

The product of its digits is 112896, while the sum is 39.

The square root of 42778362 is about 6540.5169520459. The cubic root of 42778362 is about 349.7368416416.

The spelling of 42778362 in words is "forty-two million, seven hundred seventy-eight thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 139 278 417 834 1529 3058 4587 4663 9174 9326 13989 27978 51293 102586 153879 307758 648157 1296314 1944471 3888942 7129727 14259454 21389181 42778362