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49240224 = 2534112157
BaseRepresentation
bin1011101111010…
…1100010100000
310102122122220000
42323311202200
5100101141344
64515220000
71135351335
oct273654240
9112578800
1049240224
1125881a00
12145a7600
13a280637
14677a98c
1544c9a69
hex2ef58a0

49240224 has 180 divisors, whose sum is σ = 160189722. Its totient is φ = 14826240.

The previous prime is 49240201. The next prime is 49240253. The reversal of 49240224 is 42204294.

49240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 45319824 + 3920400 = 6732^2 + 1980^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 313554 + ... + 313710.

Almost surely, 249240224 is an apocalyptic number.

49240224 is a gapful number since it is divisible by the number (44) 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 49240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80094861).

49240224 is an abundant number, since it is smaller than the sum of its proper divisors (110949498).

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

49240224 is a wasteful number, since it uses less digits than its factorization.

49240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 49240224 is about 7017.1378780811. The cubic root of 49240224 is about 366.5275917006.

The spelling of 49240224 in words is "forty-nine million, two hundred forty thousand, two hundred twenty-four".