47417216 has 128 divisors (see below), whose sum is σ = 125141760. Its totient is φ = 17326080.

The previous prime is 47417213. The next prime is 47417269. The reversal of 47417216 is 61271474.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47417213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167411 + ... + 167693.

It is an arithmetic number, because the mean of its divisors is an integer number (977670).

Almost surely, 2^47417216 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 47417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62570880).

47417216 is an abundant number, since it is smaller than the sum of its proper divisors (77724544).

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

47417216 is a wasteful number, since it uses less digits than its factorization.

47417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its digits is 9408, while the sum is 32.

The square root of 47417216 is about 6886.0159744224. The cubic root of 47417216 is about 361.9473077361.

The spelling of 47417216 in words is "forty-seven million, four hundred seventeen thousand, two hundred sixteen".