Search a number
-
+
48508416 = 293311229
BaseRepresentation
bin1011100100001…
…0111000000000
310101021111001000
42321002320000
544404232131
64451412000
71126212645
oct271027000
9111244030
1048508416
1125422100
12142b4000
13a085508
146629dcc
1543d2ce6
hex2e42e00

48508416 has 240 divisors, whose sum is σ = 163270800. Its totient is φ = 14192640.

The previous prime is 48508399. The next prime is 48508417. The reversal of 48508416 is 61480584.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48508417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672690 + ... + 1672718.

It is an arithmetic number, because the mean of its divisors is an integer number (680295).

Almost surely, 248508416 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 48508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81635400).

48508416 is an abundant number, since it is smaller than the sum of its proper divisors (114762384).

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

48508416 is a wasteful number, since it uses less digits than its factorization.

48508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48508416 is about 6964.7983459681. The cubic root of 48508416 is about 364.7027441570.

The spelling of 48508416 in words is "forty-eight million, five hundred eight thousand, four hundred sixteen".