45337248 has 108 divisors (see below), whose sum is σ = 141822954. Its totient is φ = 13728000.

The previous prime is 45337219. The next prime is 45337261. The reversal of 45337248 is 84273354.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 17424 = 6732^2 + 132^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34198 + ... + 35498.

Almost surely, 2^45337248 is an apocalyptic number.

45337248 is a gapful number since it is divisible by the number (48) 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 45337248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70911477).

45337248 is an abundant number, since it is smaller than the sum of its proper divisors (96485706).

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

45337248 is a wasteful number, since it uses less digits than its factorization.

45337248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1317 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45337248 is about 6733.2939932844. The cubic root of 45337248 is about 356.5756792780.

It can be divided in two parts, 4533 and 7248, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 45337248 in words is "forty-five million, three hundred thirty-seven thousand, two hundred forty-eight".