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42657226 = 2233771353
BaseRepresentation
bin1010001010111…
…0010111001010
32222021012201021
42202232113022
541410012401
64122143054
71025403043
oct242562712
988235637
1042657226
1122096007
1212351a8a
138ab7181
1459458ca
153b292a1
hex28ae5ca

42657226 has 32 divisors (see below), whose sum is σ = 69735168. Its totient is φ = 19514880.

The previous prime is 42657221. The next prime is 42657229. The reversal of 42657226 is 62275624.

42657226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42657191 and 42657200.

It is not an unprimeable number, because it can be changed into a prime (42657221) 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, 120666 + ... + 121018.

It is an arithmetic number, because the mean of its divisors is an integer number (2179224).

Almost surely, 242657226 is an apocalyptic number.

42657226 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42657226 is the 3266-th decagonal number.

42657226 is a deficient number, since it is larger than the sum of its proper divisors (27077942).

42657226 is a wasteful number, since it uses less digits than its factorization.

42657226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its digits is 40320, while the sum is 34.

The square root of 42657226 is about 6531.2499569378. The cubic root of 42657226 is about 349.4064115498.

The spelling of 42657226 in words is "forty-two million, six hundred fifty-seven thousand, two hundred twenty-six".

Divisors: 1 2 23 37 46 71 74 142 353 706 851 1633 1702 2627 3266 5254 8119 13061 16238 25063 26122 50126 60421 120842 300403 576449 600806 927331 1152898 1854662 21328613 42657226