51940000 has 180 divisors, whose sum is σ = 151446834. Its totient is φ = 17472000.

The previous prime is 51939961. The next prime is 51940013. The reversal of 51940000 is 4915.

51940000 = 76³ + 77³ + ... + 124³.

It can be written as a sum of positive squares in 5 ways, for example, as 2547216 + 49392784 = 1596^2 + 7028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51940000.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 979974 + ... + 980026.

Almost surely, 2^51940000 is an apocalyptic number.

51940000 is a gapful number since it is divisible by the number (50) 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 51940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75723417).

51940000 is an abundant number, since it is smaller than the sum of its proper divisors (99506834).

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

51940000 is an equidigital number, since it uses as much as digits as its factorization.

51940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 51940000 is about 7206.9410986909. The cubic root of 51940000 is about 373.1075023102.

Adding to 51940000 its reverse (4915), we get a palindrome (51944915).

The spelling of 51940000 in words is "fifty-one million, nine hundred forty thousand".