47611904 has 32 divisors (see below), whose sum is σ = 95287890. Its totient is φ = 23789568.

The previous prime is 47611873. The next prime is 47611913. The reversal of 47611904 is 40911674.

It can be written as a sum of positive squares in only one way, i.e., 27541504 + 20070400 = 5248^2 + 4480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×47611904³ (a number of 24 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32042 + ... + 33494.

Almost surely, 2^47611904 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 47611904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47643945).

47611904 is an abundant number, since it is smaller than the sum of its proper divisors (47675986).

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

47611904 is an frugal number, since it uses more digits than its factorization.

47611904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 47611904 is about 6900.1379696351. The cubic root of 47611904 is about 362.4419984885.

The spelling of 47611904 in words is "forty-seven million, six hundred eleven thousand, nine hundred four".