47135280 has 80 divisors (see below), whose sum is σ = 152490240. Its totient is φ = 12021504.

The previous prime is 47135251. The next prime is 47135293. The reversal of 47135280 is 8253174.

47135280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251 + ... + 9789.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2^47135280 is an apocalyptic number.

47135280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47135280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76245120).

47135280 is an abundant number, since it is smaller than the sum of its proper divisors (105354960).

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

47135280 is a wasteful number, since it uses less digits than its factorization.

47135280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 47135280 is about 6865.5138190816. The cubic root of 47135280 is about 361.2285188953.

The spelling of 47135280 in words is "forty-seven million, one hundred thirty-five thousand, two hundred eighty".