47601296 has 40 divisors (see below), whose sum is σ = 96121080. Its totient is φ = 22808576.

The previous prime is 47601227. The next prime is 47601299. The reversal of 47601296 is 69210674.

It can be written as a sum of positive squares in 4 ways, for example, as 19891600 + 27709696 = 4460^2 + 5264^2 .

It is not an unprimeable number, because it can be changed into a prime (47601299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79976 + ... + 80568.

It is an arithmetic number, because the mean of its divisors is an integer number (2403027).

Almost surely, 2^47601296 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 47601296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48060540).

47601296 is an abundant number, since it is smaller than the sum of its proper divisors (48519784).

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

47601296 is a wasteful number, since it uses less digits than its factorization.

47601296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 47601296 is about 6899.3692465326. The cubic root of 47601296 is about 362.4150789581.

The spelling of 47601296 in words is "forty-seven million, six hundred one thousand, two hundred ninety-six".