49088592 has 150 divisors (see below), whose sum is σ = 165486618. Its totient is φ = 14007168.

The previous prime is 49088581. The next prime is 49088597. The reversal of 49088592 is 29588094.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 18352656 = 5544^2 + 4284^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49088597) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63118 + ... + 63890.

Almost surely, 2^49088592 is an apocalyptic number.

49088592 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 49088592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82743309).

49088592 is an abundant number, since it is smaller than the sum of its proper divisors (116398026).

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

49088592 is a wasteful number, since it uses less digits than its factorization.

49088592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 49088592 is about 7006.3251423268. The cubic root of 49088592 is about 366.1509723845.

The spelling of 49088592 in words is "forty-nine million, eighty-eight thousand, five hundred ninety-two".