49100160 has 128 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 12916736.

The previous prime is 49100141. The next prime is 49100173. The reversal of 49100160 is 6100194.

49100160 = T₉₀₄ + T₉₀₅ + ... + T₁₀₁₀.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205321 + ... + 205559.

It is an arithmetic number, because the mean of its divisors is an integer number (1239300).

Almost surely, 2^49100160 is an apocalyptic number.

49100160 is a gapful number since it is divisible by the number (40) 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 49100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79315200).

49100160 is an abundant number, since it is smaller than the sum of its proper divisors (109530240).

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

49100160 is a wasteful number, since it uses less digits than its factorization.

49100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 49100160 is about 7007.1506334601. The cubic root of 49100160 is about 366.1797319639.

The spelling of 49100160 in words is "forty-nine million, one hundred thousand, one hundred sixty".