Search a number
-
+
49469616 = 2434721941
BaseRepresentation
bin1011110010110…
…1100010110000
310110002022120000
42330231202300
5100131011431
64524150000
71140325200
oct274554260
9113068500
1049469616
1125a19289
1214698300
13a330b81
1467da400
1545229e6
hex2f2d8b0

49469616 has 300 divisors, whose sum is σ = 179597880. Its totient is φ = 13063680.

The previous prime is 49469611. The next prime is 49469633. The reversal of 49469616 is 61696494.

49469616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (279936) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (49469611) 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 59 ways as a sum of consecutive naturals, for example, 1206556 + ... + 1206596.

Almost surely, 249469616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49469616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940).

49469616 is an abundant number, since it is smaller than the sum of its proper divisors (130128264).

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

49469616 is a wasteful number, since it uses less digits than its factorization.

49469616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 49469616 is about 7033.4640114242. The cubic root of 49469616 is about 367.0958823095.

The spelling of 49469616 in words is "forty-nine million, four hundred sixty-nine thousand, six hundred sixteen".