49516272 has 100 divisors (see below), whose sum is σ = 154391160. Its totient is φ = 15230592.

The previous prime is 49516241. The next prime is 49516277. The reversal of 49516272 is 27261594.

49516272 is a `hidden beast` number, since 495 + 162 + 7 + 2 = 666.

It is a super-2 number, since 2×49516272² = 4903722385555968, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49516277) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15379 + ... + 18317.

Almost surely, 2^49516272 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 49516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77195580).

49516272 is an abundant number, since it is smaller than the sum of its proper divisors (104874888).

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

49516272 is a wasteful number, since it uses less digits than its factorization.

49516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2957 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 49516272 is about 7036.7799454012. The cubic root of 49516272 is about 367.2112517378.

The spelling of 49516272 in words is "forty-nine million, five hundred sixteen thousand, two hundred seventy-two".