51846912 has 144 divisors (see below), whose sum is σ = 165400480. Its totient is φ = 15925248.

The previous prime is 51846887. The next prime is 51846913. The reversal of 51846912 is 21964815.

It is a tau number, because it is divible by the number of its divisors (144).

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 (51846913) 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 15 ways as a sum of consecutive naturals, for example, 89568 + ... + 90144.

Almost surely, 2^51846912 is an apocalyptic number.

51846912 is a gapful number since it is divisible by the number (52) 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 51846912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82700240).

51846912 is an abundant number, since it is smaller than the sum of its proper divisors (113553568).

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

51846912 is a wasteful number, since it uses less digits than its factorization.

51846912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 595 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 51846912 is about 7200.4799840011. The cubic root of 51846912 is about 372.8844718847.

It can be divided in two parts, 518469 and 12, that multiplied together give a triangular number (6221628 = T₃₅₂₇).

The spelling of 51846912 in words is "fifty-one million, eight hundred forty-six thousand, nine hundred twelve".