47757006 has 48 divisors (see below), whose sum is σ = 116667600. Its totient is φ = 14469840.

The previous prime is 47756981. The next prime is 47757007. The reversal of 47757006 is 60075774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47757007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880 + ... + 10188.

It is an arithmetic number, because the mean of its divisors is an integer number (2430575).

Almost surely, 2^47757006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47757006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58333800).

47757006 is an abundant number, since it is smaller than the sum of its proper divisors (68910594).

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

47757006 is a wasteful number, since it uses less digits than its factorization.

47757006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 47757006 is about 6910.6443983177. The cubic root of 47757006 is about 362.8098177328.

It can be divided in two parts, 4775 and 7006, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 47757006 in words is "forty-seven million, seven hundred fifty-seven thousand, six".