Search a number
-
+
42807738 = 2323213487
BaseRepresentation
bin1010001101001…
…1000110111010
32222112212011210
42203103012322
541424321423
64125303550
71026600621
oct243230672
988485153
1042807738
11221890a6
1212404bb6
138b3a82c
1459846b8
153b58b93
hex28d31ba

42807738 has 24 divisors (see below), whose sum is σ = 89506368. Its totient is φ = 13647832.

The previous prime is 42807697. The next prime is 42807757. The reversal of 42807738 is 83770824.

42807738 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42807696 and 42807705.

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 11 ways as a sum of consecutive naturals, for example, 3570 + ... + 9917.

It is an arithmetic number, because the mean of its divisors is an integer number (3729432).

Almost surely, 242807738 is an apocalyptic number.

42807738 is an abundant number, since it is smaller than the sum of its proper divisors (46698630).

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

42807738 is a wasteful number, since it uses less digits than its factorization.

42807738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13538 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 42807738 is about 6542.7622606969. The cubic root of 42807738 is about 349.8168783563.

The spelling of 42807738 in words is "forty-two million, eight hundred seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 23 46 69 138 529 1058 1587 3174 13487 26974 40461 80922 310201 620402 930603 1861206 7134623 14269246 21403869 42807738