51919296 has 224 divisors, whose sum is σ = 169322496. Its totient is φ = 13824000.

The previous prime is 51919271. The next prime is 51919321. The reversal of 51919296 is 69291915.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51919271) and next prime (51919321).

It is a super-2 number, since 2×51919296² = 5391226594271232, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851106 + ... + 851166.

It is an arithmetic number, because the mean of its divisors is an integer number (755904).

Almost surely, 2^51919296 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 51919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84661248).

51919296 is an abundant number, since it is smaller than the sum of its proper divisors (117403200).

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

51919296 is a wasteful number, since it uses less digits than its factorization.

51919296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its digits is 43740, while the sum is 42.

The square root of 51919296 is about 7205.5045624855. The cubic root of 51919296 is about 373.0579204571.

The spelling of 51919296 in words is "fifty-one million, nine hundred nineteen thousand, two hundred ninety-six".