51963444 has 120 divisors (see below), whose sum is σ = 149173640. Its totient is φ = 15769728.

The previous prime is 51963413. The next prime is 51963469. The reversal of 51963444 is 44436915.

51963444 is a `hidden beast` number, since 5 + 19 + 634 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14288400 + 37675044 = 3780^2 + 6138^2 .

It is a super-2 number, since 2×51963444² = 5400399024682272, which contains 22 as substring.

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

Its product of digits (51840) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 51963399 and 51963408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 711792 + ... + 711864.

Almost surely, 2^51963444 is an apocalyptic number.

51963444 is a gapful number since it is divisible by the number (54) 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 51963444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74586820).

51963444 is an abundant number, since it is smaller than the sum of its proper divisors (97210196).

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

51963444 is a wasteful number, since it uses less digits than its factorization.

51963444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 51963444 is about 7208.5674027507. The cubic root of 51963444 is about 373.1636299996.

The spelling of 51963444 in words is "fifty-one million, nine hundred sixty-three thousand, four hundred forty-four".