45837792 has 384 divisors, whose sum is σ = 182891520. Its totient is φ = 10782720.

The previous prime is 45837787. The next prime is 45837811. The reversal of 45837792 is 29773854.

It is a super-2 number, since 2×45837792² = 4202206350870528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 864838 + ... + 864890.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^45837792 is an apocalyptic number.

45837792 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 45837792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

45837792 is an abundant number, since it is smaller than the sum of its proper divisors (137053728).

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

45837792 is a wasteful number, since it uses less digits than its factorization.

45837792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 45837792 is about 6770.3612902119. The cubic root of 45837792 is about 357.8831323743.

The spelling of 45837792 in words is "forty-five million, eight hundred thirty-seven thousand, seven hundred ninety-two".