45626742 has 108 divisors (see below), whose sum is σ = 122842980. Its totient is φ = 12200832.

The previous prime is 45626731. The next prime is 45626743. The reversal of 45626742 is 24762654.

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 45626697 and 45626706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45626743) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 254809 + ... + 254987.

It is an arithmetic number, because the mean of its divisors is an integer number (1137435).

Almost surely, 2^45626742 is an apocalyptic number.

45626742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45626742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61421490).

45626742 is an abundant number, since it is smaller than the sum of its proper divisors (77216238).

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

45626742 is a wasteful number, since it uses less digits than its factorization.

45626742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45626742 is about 6754.7569904475. The cubic root of 45626742 is about 357.3330225812. Note that the first 3 decimals are identical.

The spelling of 45626742 in words is "forty-five million, six hundred twenty-six thousand, seven hundred forty-two".