54736948 has 48 divisors (see below), whose sum is σ = 118988800. Its totient is φ = 21500640.

The previous prime is 54736937. The next prime is 54736961. The reversal of 54736948 is 84963745.

It is a super-2 number, since 2×54736948² = 5992266952709408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54736898 and 54736907.

It is a congruent number.

It is an unprimeable number.

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, 14833 + ... + 18151.

Almost surely, 2^54736948 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 54736948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59494400).

54736948 is an abundant number, since it is smaller than the sum of its proper divisors (64251852).

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

54736948 is a wasteful number, since it uses less digits than its factorization.

54736948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3378 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 54736948 is about 7398.4422684779. The cubic root of 54736948 is about 379.6879894985.

It can be divided in two parts, 5473 and 6948, that added together give a palindrome (12421).

The spelling of 54736948 in words is "fifty-four million, seven hundred thirty-six thousand, nine hundred forty-eight".