41760048 has 80 divisors (see below), whose sum is σ = 118742400. Its totient is φ = 12541440.

The previous prime is 41760031. The next prime is 41760053. The reversal of 41760048 is 84006714.

41760048 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 = 41759997 and 41760024.

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 15 ways as a sum of consecutive naturals, for example, 73108 + ... + 73676.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^41760048 is an apocalyptic number.

41760048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41760048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59371200).

41760048 is an abundant number, since it is smaller than the sum of its proper divisors (76982352).

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

41760048 is a wasteful number, since it uses less digits than its factorization.

41760048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 41760048 is about 6462.2014824671. The cubic root of 41760048 is about 346.9394319398.

It can be divided in two parts, 417 and 60048, that multiplied together give a square (25040016 = 5004²).

The spelling of 41760048 in words is "forty-one million, seven hundred sixty thousand, forty-eight".