47748100 has 27 divisors (see below), whose sum is σ = 103763541. Its totient is φ = 19071600.

The previous prime is 47748089. The next prime is 47748101. The reversal of 47748100 is 184774.

The square root of 47748100 is 6910.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17189316 + 30558784 = 4146^2 + 5528^2 .

It is a super-2 number, since 2×47748100² = 4559762107220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47748101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 68755 + ... + 69445.

Almost surely, 2^47748100 is an apocalyptic number.

47748100 is the 6910-th square number.

It is an amenable number.

47748100 is an abundant number, since it is smaller than the sum of its proper divisors (56015441).

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

47748100 is an equidigital number, since it uses as much as digits as its factorization.

47748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The cubic root of 47748100 is about 362.7872633798.

The spelling of 47748100 in words is "forty-seven million, seven hundred forty-eight thousand, one hundred".