Search a number
-
+
42826068 = 22321189613
BaseRepresentation
bin1010001101011…
…1100101010100
32222120210022200
42203113211110
541430413233
64125524500
71030005225
oct243274524
988523280
1042826068
11221a094a
1212413730
138b45c8c
14598b24c
153b5e313
hex28d7954

42826068 has 18 divisors (see below), whose sum is σ = 108254874. Its totient is φ = 14275344.

The previous prime is 42826031. The next prime is 42826073. The reversal of 42826068 is 86062824.

42826068 is a `hidden beast` number, since 42 + 8 + 2 + 606 + 8 = 666.

42826068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38713284 + 4112784 = 6222^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1189613 = 42826068 / (4 + 2 + 8 + 2 + 6 + 0 + 6 + 8).

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 5 ways as a sum of consecutive naturals, for example, 594771 + ... + 594842.

Almost surely, 242826068 is an apocalyptic number.

It is an amenable number.

42826068 is an abundant number, since it is smaller than the sum of its proper divisors (65428806).

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

42826068 is a wasteful number, since it uses less digits than its factorization.

42826068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189623 (or 1189618 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 42826068 is about 6544.1628952831. The cubic root of 42826068 is about 349.8668010158.

The spelling of 42826068 in words is "forty-two million, eight hundred twenty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1189613 2379226 3568839 4758452 7137678 10706517 14275356 21413034 42826068