42761004 has 48 divisors (see below), whose sum is σ = 117223680. Its totient is φ = 11960640.

The previous prime is 42760999. The next prime is 42761009. The reversal of 42761004 is 40016724.

42761004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42760999) and next prime (42761009).

It is not an unprimeable number, because it can be changed into a prime (42761009) 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, 10744 + ... + 14175.

It is an arithmetic number, because the mean of its divisors is an integer number (2442160).

Almost surely, 2^42761004 is an apocalyptic number.

42761004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42761004 is an abundant number, since it is smaller than the sum of its proper divisors (74462676).

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

42761004 is a wasteful number, since it uses less digits than its factorization.

42761004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24950 (or 24948 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42761004 is about 6539.1898580788. The cubic root of 42761004 is about 349.6895314822.

Adding to 42761004 its reverse (40016724), we get a palindrome (82777728).

The spelling of 42761004 in words is "forty-two million, seven hundred sixty-one thousand, four".