47951136 has 192 divisors, whose sum is σ = 154828800. Its totient is φ = 14370048.

The previous prime is 47951131. The next prime is 47951161. The reversal of 47951136 is 63115974.

47951136 is a `hidden beast` number, since 479 + 51 + 136 = 666.

47951136 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 2×47951136² = 4598622887380992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47951136.

It is not an unprimeable number, because it can be changed into a prime (47951131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 377505 + ... + 377631.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 2^47951136 is an apocalyptic number.

47951136 is a gapful number since it is divisible by the number (46) 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 47951136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

47951136 is an abundant number, since it is smaller than the sum of its proper divisors (106877664).

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

47951136 is a wasteful number, since it uses less digits than its factorization.

47951136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 47951136 is about 6924.6758768913. The cubic root of 47951136 is about 363.3007547779.

It can be divided in two parts, 479 and 51136, that added together give a palindrome (51615).

The spelling of 47951136 in words is "forty-seven million, nine hundred fifty-one thousand, one hundred thirty-six".