45122076 has 48 divisors (see below), whose sum is σ = 118087200. Its totient is φ = 14898816.

The previous prime is 45122069. The next prime is 45122083. The reversal of 45122076 is 67022154.

45122076 = 706² + 707² + ... + 786².

45122076 is a `hidden beast` number, since 451 + 2 + 207 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (45122069) and next prime (45122083).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9856 + ... + 13688.

It is an arithmetic number, because the mean of its divisors is an integer number (2460150).

Almost surely, 2^45122076 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 45122076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043600).

45122076 is an abundant number, since it is smaller than the sum of its proper divisors (72965124).

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

45122076 is a wasteful number, since it uses less digits than its factorization.

45122076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45122076 is about 6717.2967777224. The cubic root of 45122076 is about 356.0106780452.

The spelling of 45122076 in words is "forty-five million, one hundred twenty-two thousand, seventy-six".