47726784 has 252 divisors, whose sum is σ = 169392600. Its totient is φ = 12773376.

The previous prime is 47726773. The next prime is 47726807. The reversal of 47726784 is 48762774.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 536212 + ... + 536300.

Almost surely, 2^47726784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47726784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84696300).

47726784 is an abundant number, since it is smaller than the sum of its proper divisors (121665816).

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

47726784 is a wasteful number, since it uses less digits than its factorization.

47726784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 47726784 is about 6908.4574255039. The cubic root of 47726784 is about 362.7332694383.

It can be divided in two parts, 477 and 26784, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 47726784 in words is "forty-seven million, seven hundred twenty-six thousand, seven hundred eighty-four".