49142688 has 144 divisors (see below), whose sum is σ = 155361024. Its totient is φ = 13547520.

The previous prime is 49142677. The next prime is 49142701. The reversal of 49142688 is 88624194.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145656 + ... + 145992.

It is an arithmetic number, because the mean of its divisors is an integer number (1078896).

Almost surely, 2^49142688 is an apocalyptic number.

49142688 is a gapful number since it is divisible by the number (48) 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 49142688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77680512).

49142688 is an abundant number, since it is smaller than the sum of its proper divisors (106218336).

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

49142688 is a wasteful number, since it uses less digits than its factorization.

49142688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 380 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 49142688 is about 7010.1845910076. The cubic root of 49142688 is about 366.2854233891.

The spelling of 49142688 in words is "forty-nine million, one hundred forty-two thousand, six hundred eighty-eight".