45064192 has 28 divisors (see below), whose sum is σ = 90139266. Its totient is φ = 22528000.

The previous prime is 45064189. The next prime is 45064213. The reversal of 45064192 is 29146054.

It can be written as a sum of positive squares in only one way, i.e., 25563136 + 19501056 = 5056^2 + 4416^2 .

It is a super-2 number, since 2×45064192² = 4061562801225728, which contains 22 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5442 + ... + 10942.

Almost surely, 2^45064192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45069633).

45064192 is an abundant number, since it is smaller than the sum of its proper divisors (45075074).

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

45064192 is an frugal number, since it uses more digits than its factorization.

45064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 45064192 is about 6712.9868166115. The cubic root of 45064192 is about 355.8583790517.

The spelling of 45064192 in words is "forty-five million, sixty-four thousand, one hundred ninety-two".