51949080 has 128 divisors (see below), whose sum is σ = 175219200. Its totient is φ = 13689216.

The previous prime is 51949069. The next prime is 51949081. The reversal of 51949080 is 8094915.

51949080 = 766² + 767² + ... + 845².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51949081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111007 + ... + 111473.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 2^51949080 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 51949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87609600).

51949080 is an abundant number, since it is smaller than the sum of its proper divisors (123270120).

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

51949080 is a wasteful number, since it uses less digits than its factorization.

51949080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51949080 is about 7207.5710194212. The cubic root of 51949080 is about 373.1292429002.

The spelling of 51949080 in words is "fifty-one million, nine hundred forty-nine thousand, eighty".