54286200 has 144 divisors (see below), whose sum is σ = 189232680. Its totient is φ = 14463360.

The previous prime is 54286171. The next prime is 54286247. The reversal of 54286200 is 268245.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48042 + ... + 49158.

Almost surely, 2^54286200 is an apocalyptic number.

54286200 is a gapful number since it is divisible by the number (50) 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 54286200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94616340).

54286200 is an abundant number, since it is smaller than the sum of its proper divisors (134946480).

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

54286200 is a wasteful number, since it uses less digits than its factorization.

54286200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54286200 is about 7367.9169376426. The cubic root of 54286200 is about 378.6428968802.

It can be divided in two parts, 5428 and 6200, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 54286200 in words is "fifty-four million, two hundred eighty-six thousand, two hundred".