54385002 has 72 divisors (see below), whose sum is σ = 138208356. Its totient is φ = 15410304.

The previous prime is 54384991. The next prime is 54385031. The reversal of 54385002 is 20058345.

It can be written as a sum of positive squares in 2 ways, for example, as 54331641 + 53361 = 7371^2 + 231^2 .

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, 173598 + ... + 173910.

Almost surely, 2^54385002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54385002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69104178).

54385002 is an abundant number, since it is smaller than the sum of its proper divisors (83823354).

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

54385002 is a wasteful number, since it uses less digits than its factorization.

54385002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54385002 is about 7374.6187698077. The cubic root of 54385002 is about 378.8724702791.

It can be divided in two parts, 5438 and 5002, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 54385002 in words is "fifty-four million, three hundred eighty-five thousand, two".