47501640 has 144 divisors (see below), whose sum is σ = 161195580. Its totient is φ = 12597120.

The previous prime is 47501609. The next prime is 47501651. The reversal of 47501640 is 4610574.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 7584516 = 6318^2 + 2754^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 262350 + ... + 262530.

Almost surely, 2^47501640 is an apocalyptic number.

47501640 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 47501640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80597790).

47501640 is an abundant number, since it is smaller than the sum of its proper divisors (113693940).

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

47501640 is an equidigital number, since it uses as much as digits as its factorization.

47501640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 47501640 is about 6892.1433531232. The cubic root of 47501640 is about 362.1619901159.

The spelling of 47501640 in words is "forty-seven million, five hundred one thousand, six hundred forty".