47129082 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 10523520.

The previous prime is 47129081. The next prime is 47129087. The reversal of 47129082 is 28092174.

It is a happy number.

It is a super-3 number, since 3×47129082³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (47129081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 798769 + ... + 798827.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^47129082 is an apocalyptic number.

47129082 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 47129082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

47129082 is an abundant number, since it is smaller than the sum of its proper divisors (90765318).

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

47129082 is a wasteful number, since it uses less digits than its factorization.

47129082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 47129082 is about 6865.0624177789. The cubic root of 47129082 is about 361.2126850902.

The spelling of 47129082 in words is "forty-seven million, one hundred twenty-nine thousand, eighty-two".