45815952 has 160 divisors (see below), whose sum is σ = 154490112. Its totient is φ = 11354112.

The previous prime is 45815947. The next prime is 45815981. The reversal of 45815952 is 25951854.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 45815952.

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 31 ways as a sum of consecutive naturals, for example, 73948 + ... + 74564.

Almost surely, 2^45815952 is an apocalyptic number.

45815952 is a gapful number since it is divisible by the number (42) 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 45815952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77245056).

45815952 is an abundant number, since it is smaller than the sum of its proper divisors (108674160).

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

45815952 is a wasteful number, since it uses less digits than its factorization.

45815952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its digits is 72000, while the sum is 39.

The square root of 45815952 is about 6768.7481855953. The cubic root of 45815952 is about 357.8262840186.

The spelling of 45815952 in words is "forty-five million, eight hundred fifteen thousand, nine hundred fifty-two".