Search a number
-
+
49506380 = 225711173161
BaseRepresentation
bin1011110011011…
…0100001001100
310110011011222122
42330312201030
5100133201010
64525032112
71140540320
oct274664114
9113134878
1049506380
1125a43970
12146b5638
13a344821
146809980
15452d855
hex2f3684c

49506380 has 192 divisors, whose sum is σ = 143990784. Its totient is φ = 13824000.

The previous prime is 49506371. The next prime is 49506403. The reversal of 49506380 is 8360594.

49506380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 49506380.

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 63 ways as a sum of consecutive naturals, for example, 811550 + ... + 811610.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 249506380 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 49506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

49506380 is an abundant number, since it is smaller than the sum of its proper divisors (94484404).

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

49506380 is a wasteful number, since it uses less digits than its factorization.

49506380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 49506380 is about 7036.0770319831. The cubic root of 49506380 is about 367.1867971799.

The spelling of 49506380 in words is "forty-nine million, five hundred six thousand, three hundred eighty".