49845312 has 84 divisors (see below), whose sum is σ = 155880816. Its totient is φ = 15102720.

The previous prime is 49845277. The next prime is 49845329. The reversal of 49845312 is 21354894.

49845312 is a `hidden beast` number, since 49 + 84 + 531 + 2 = 666.

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

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, 2403 + ... + 10269.

It is an arithmetic number, because the mean of its divisors is an integer number (1855724).

Almost surely, 2^49845312 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 49845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77940408).

49845312 is an abundant number, since it is smaller than the sum of its proper divisors (106035504).

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

49845312 is a wasteful number, since it uses less digits than its factorization.

49845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7896 (or 7883 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 49845312 is about 7060.1212454178. The cubic root of 49845312 is about 368.0228404223.

It can be divided in two parts, 4984 and 5312, that added together give a triangular number (10296 = T₁₄₃).

The spelling of 49845312 in words is "forty-nine million, eight hundred forty-five thousand, three hundred twelve".