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42710112 = 253349433
BaseRepresentation
bin1010001011101…
…1010001100000
32222100220021000
42202323101200
541413210422
64123232000
71026013164
oct242732140
988326230
1042710112
1122121815
1212378600
138b05273
14595aca4
153b39cac
hex28bb460

42710112 has 48 divisors (see below), whose sum is σ = 124573680. Its totient is φ = 14236416.

The previous prime is 42710111. The next prime is 42710131. The reversal of 42710112 is 21101724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42710111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23853 + ... + 25580.

It is an arithmetic number, because the mean of its divisors is an integer number (2595285).

Almost surely, 242710112 is an apocalyptic number.

It is an amenable number.

42710112 is an abundant number, since it is smaller than the sum of its proper divisors (81863568).

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

42710112 is a wasteful number, since it uses less digits than its factorization.

42710112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49452 (or 49438 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 42710112 is about 6535.2973918560. The cubic root of 42710112 is about 349.5507487692.

Adding to 42710112 its reverse (21101724), we get a palindrome (63811836).

The spelling of 42710112 in words is "forty-two million, seven hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 49433 98866 148299 197732 296598 395464 444897 593196 790928 889794 1186392 1334691 1581856 1779588 2372784 2669382 3559176 4745568 5338764 7118352 10677528 14236704 21355056 42710112