45319824 has 225 divisors, whose sum is σ = 153157081. Its totient is φ = 12925440.

The previous prime is 45319819. The next prime is 45319849. The reversal of 45319824 is 42891354.

45319824 = T₄₈₇ + T₄₈₈ + ... + T₇₂₈.

The square root of 45319824 is 6732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35283600 + 10036224 = 5940^2 + 3168^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2665864 + ... + 2665880.

Almost surely, 2^45319824 is an apocalyptic number.

45319824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

45319824 is the 6732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45319824

45319824 is an abundant number, since it is smaller than the sum of its proper divisors (107837257).

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

45319824 is a wasteful number, since it uses less digits than its factorization.

45319824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The cubic root of 45319824 is about 356.5299937324.

Multiplying 45319824 by its sum of digits (36), we get a square (1631513664 = 40392²).

45319824 divided by its sum of digits (36) gives a square (1258884 = 1122²).

The spelling of 45319824 in words is "forty-five million, three hundred nineteen thousand, eight hundred twenty-four".