45652056 has 64 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 14446080.

The previous prime is 45652051. The next prime is 45652063. The reversal of 45652056 is 65025654.

It is a happy number.

It is a super-2 number, since 2×45652056² = 4168220434054272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45652051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105216 + ... + 105648.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^45652056 is an apocalyptic number.

45652056 is a gapful number since it is divisible by the number (46) 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 45652056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

45652056 is an abundant number, since it is smaller than the sum of its proper divisors (74340264).

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

45652056 is a wasteful number, since it uses less digits than its factorization.

45652056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 45652056 is about 6756.6305211992. The cubic root of 45652056 is about 357.3990938909.

The spelling of 45652056 in words is "forty-five million, six hundred fifty-two thousand, fifty-six".