51762240 has 140 divisors (see below), whose sum is σ = 184219596. Its totient is φ = 13796352.

The previous prime is 51762211. The next prime is 51762241. The reversal of 51762240 is 4226715.

It can be written as a sum of positive squares in 2 ways, for example, as 7884864 + 43877376 = 2808^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51762241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24922 + ... + 26918.

Almost surely, 2^51762240 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 51762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92109798).

51762240 is an abundant number, since it is smaller than the sum of its proper divisors (132457356).

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

51762240 is a wasteful number, since it uses less digits than its factorization.

51762240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51762240 is about 7194.5979734798. The cubic root of 51762240 is about 372.6813734694.

Adding to 51762240 its reverse (4226715), we get a palindrome (55988955).

The spelling of 51762240 in words is "fifty-one million, seven hundred sixty-two thousand, two hundred forty".