45083544 has 64 divisors (see below), whose sum is σ = 123552000. Its totient is φ = 13595520.

The previous prime is 45083543. The next prime is 45083557. The reversal of 45083544 is 44538054.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45083543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102477 + ... + 102915.

It is an arithmetic number, because the mean of its divisors is an integer number (1930500).

Almost surely, 2^45083544 is an apocalyptic number.

45083544 is a gapful number since it is divisible by the number (44) 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 45083544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61776000).

45083544 is an abundant number, since it is smaller than the sum of its proper divisors (78468456).

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

45083544 is a wasteful number, since it uses less digits than its factorization.

45083544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 45083544 is about 6714.4280471236. The cubic root of 45083544 is about 355.9093107376.

Subtracting from 45083544 its reverse (44538054), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 45083544 in words is "forty-five million, eighty-three thousand, five hundred forty-four".