47953936 has 20 divisors (see below), whose sum is σ = 96115500. Its totient is φ = 23149952.

The previous prime is 47953933. The next prime is 47953949. The reversal of 47953936 is 63935974.

47953936 = 699² + 700² + ... + 785².

It can be written as a sum of positive squares in 2 ways, for example, as 14776336 + 33177600 = 3844^2 + 5760^2 .

It is not an unprimeable number, because it can be changed into a prime (47953933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51211 + ... + 52138.

It is an arithmetic number, because the mean of its divisors is an integer number (4805775).

Almost surely, 2^47953936 is an apocalyptic number.

It is an amenable number.

47953936 is an abundant number, since it is smaller than the sum of its proper divisors (48161564).

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

47953936 is a wasteful number, since it uses less digits than its factorization.

47953936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103386 (or 103380 counting only the distinct ones).

The product of its digits is 612360, while the sum is 46.

The square root of 47953936 is about 6924.8780494677. The cubic root of 47953936 is about 363.3078260203.

The spelling of 47953936 in words is "forty-seven million, nine hundred fifty-three thousand, nine hundred thirty-six".