47626900 has 36 divisors (see below), whose sum is σ = 103985532. Its totient is φ = 18933760.

The previous prime is 47626889. The next prime is 47626907. The reversal of 47626900 is 962674.

It can be written as a sum of positive squares in 6 ways, for example, as 5817744 + 41809156 = 2412^2 + 6466^2 .

It is a super-2 number, since 2×47626900² = 4536643207220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47626907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15924 + ... + 18676.

It is an arithmetic number, because the mean of its divisors is an integer number (2888487).

Almost surely, 2^47626900 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 47626900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51992766).

47626900 is an abundant number, since it is smaller than the sum of its proper divisors (56358632).

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

47626900 is a wasteful number, since it uses less digits than its factorization.

47626900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2940 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 47626900 is about 6901.2245290238. The cubic root of 47626900 is about 362.4800464641.

The spelling of 47626900 in words is "forty-seven million, six hundred twenty-six thousand, nine hundred".