45783738 has 192 divisors, whose sum is σ = 140192640. Its totient is φ = 10977120.

The previous prime is 45783719. The next prime is 45783767. The reversal of 45783738 is 83738754.

45783738 is a `hidden beast` number, since 4 + 578 + 3 + 73 + 8 = 666.

45783738 is nontrivially palindromic in base 4.

Its product of digits (564480) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 45783693 and 45783702.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3521820 + ... + 3521832.

It is an arithmetic number, because the mean of its divisors is an integer number (730170).

Almost surely, 2^45783738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45783738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70096320).

45783738 is an abundant number, since it is smaller than the sum of its proper divisors (94408902).

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

45783738 is a wasteful number, since it uses less digits than its factorization.

45783738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 45783738 is about 6766.3681543351. The cubic root of 45783738 is about 357.7423997084.

The spelling of 45783738 in words is "forty-five million, seven hundred eighty-three thousand, seven hundred thirty-eight".