49894176 has 96 divisors (see below), whose sum is σ = 139345920. Its totient is φ = 15597824.

The previous prime is 49894151. The next prime is 49894177. The reversal of 49894176 is 67149894.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (49894177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130081 + ... + 130463.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^49894176 is an apocalyptic number.

49894176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

49894176 is the 3776-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49894176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69672960).

49894176 is an abundant number, since it is smaller than the sum of its proper divisors (89451744).

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

49894176 is a wasteful number, since it uses less digits than its factorization.

49894176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 49894176 is about 7063.5809615237. The cubic root of 49894176 is about 368.1430603200.

The spelling of 49894176 in words is "forty-nine million, eight hundred ninety-four thousand, one hundred seventy-six".