45842496 has 112 divisors (see below), whose sum is σ = 144743424. Its totient is φ = 12519936.

The previous prime is 45842479. The next prime is 45842513. The reversal of 45842496 is 69424854.

It is an interprime number because it is at equal distance from previous prime (45842479) and next prime (45842513).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 30171 + ... + 31653.

It is an arithmetic number, because the mean of its divisors is an integer number (1292352).

Almost surely, 2^45842496 is an apocalyptic number.

45842496 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 45842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72371712).

45842496 is an abundant number, since it is smaller than the sum of its proper divisors (98900928).

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

45842496 is a wasteful number, since it uses less digits than its factorization.

45842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1518 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 45842496 is about 6770.7086778269. The cubic root of 45842496 is about 357.8953742719.

The spelling of 45842496 in words is "forty-five million, eight hundred forty-two thousand, four hundred ninety-six".