47742100 has 72 divisors (see below), whose sum is σ = 119311808. Its totient is φ = 16243200.

The previous prime is 47742067. The next prime is 47742113. The reversal of 47742100 is 124774.

47742100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×47742100² = 4558616224820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 168559 + ... + 168841.

Almost surely, 2^47742100 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 47742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59655904).

47742100 is an abundant number, since it is smaller than the sum of its proper divisors (71569708).

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

47742100 is a wasteful number, since it uses less digits than its factorization.

47742100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 47742100 is about 6909.5658329594. The cubic root of 47742100 is about 362.7720668606.

Adding to 47742100 its reverse (124774), we get a palindrome (47866874).

The spelling of 47742100 in words is "forty-seven million, seven hundred forty-two thousand, one hundred".