49146240 has 256 divisors, whose sum is σ = 185068800. Its totient is φ = 10936320.

The previous prime is 49146199. The next prime is 49146241. The reversal of 49146240 is 4264194.

49146240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×49146240² = 4830705812275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49146198 and 49146207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49146241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274471 + ... + 274649.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^49146240 is an apocalyptic number.

49146240 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 49146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

49146240 is an abundant number, since it is smaller than the sum of its proper divisors (135922560).

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

49146240 is a wasteful number, since it uses less digits than its factorization.

49146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49146240 is about 7010.4379321124. The cubic root of 49146240 is about 366.2942481301.

The spelling of 49146240 in words is "forty-nine million, one hundred forty-six thousand, two hundred forty".