49248144 has 60 divisors (see below), whose sum is σ = 150360912. Its totient is φ = 14923200.

The previous prime is 49248131. The next prime is 49248163. The reversal of 49248144 is 44184294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49248099 and 49248108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13962 + ... + 17129.

Almost surely, 2^49248144 is an apocalyptic number.

49248144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49248144 is an abundant number, since it is smaller than the sum of its proper divisors (101112768).

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

49248144 is a wasteful number, since it uses less digits than its factorization.

49248144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31116 (or 31107 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 49248144 is about 7017.7021880385. The cubic root of 49248144 is about 366.5472419152.

The spelling of 49248144 in words is "forty-nine million, two hundred forty-eight thousand, one hundred forty-four".