55482336 has 288 divisors, whose sum is σ = 203636160. Its totient is φ = 13934592.

The previous prime is 55482331. The next prime is 55482347. The reversal of 55482336 is 63328455.

55482336 = T₃₄₃ + T₃₄₄ + ... + T₇₁₉.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55482336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55482331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759996 + ... + 760068.

It is an arithmetic number, because the mean of its divisors is an integer number (707070).

Almost surely, 2^55482336 is an apocalyptic number.

55482336 is a gapful number since it is divisible by the number (56) 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 55482336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101818080).

55482336 is an abundant number, since it is smaller than the sum of its proper divisors (148153824).

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

55482336 is a wasteful number, since it uses less digits than its factorization.

55482336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55482336 is about 7448.6465884750. The cubic root of 55482336 is about 381.4037095511.

The spelling of 55482336 in words is "fifty-five million, four hundred eighty-two thousand, three hundred thirty-six".