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42457681 = 77976777
BaseRepresentation
bin1010000111110…
…1101001010001
32221220001222201
42201331221101
541332121211
64114003201
71023612220
oct241755121
987801881
1042457681
1121a6a0a2
1212276501
138a473b6
1458d2cb7
153ada0c1
hex287da51

42457681 has 8 divisors (see below), whose sum is σ = 49137920. Its totient is φ = 35931168.

The previous prime is 42457661. The next prime is 42457697. The reversal of 42457681 is 18675424.

42457681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42457681 - 29 = 42457169 is a prime.

It is a super-2 number, since 2×424576812 = 3605309351795522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42457681.

It is not an unprimeable number, because it can be changed into a prime (42457601) 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 7 ways as a sum of consecutive naturals, for example, 37836 + ... + 38941.

It is an arithmetic number, because the mean of its divisors is an integer number (6142240).

Almost surely, 242457681 is an apocalyptic number.

It is an amenable number.

42457681 is a deficient number, since it is larger than the sum of its proper divisors (6680239).

42457681 is an equidigital number, since it uses as much as digits as its factorization.

42457681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76863.

The product of its digits is 53760, while the sum is 37.

The square root of 42457681 is about 6515.9558776898. The cubic root of 42457681 is about 348.8607337544.

The spelling of 42457681 in words is "forty-two million, four hundred fifty-seven thousand, six hundred eighty-one".

Divisors: 1 7 79 553 76777 537439 6065383 42457681