Search a number
-
+
48616848 = 2434723233
BaseRepresentation
bin1011100101110…
…1010110010000
310101110222210000
42321131112100
544421214343
64454010000
71130144040
oct271352620
9111428700
1048616848
1125496615
1214346900
13a0c2987
146657720
154404ed3
hex2e5d590

48616848 has 200 divisors, whose sum is σ = 168524928. Its totient is φ = 13229568.

The previous prime is 48616829. The next prime is 48616861. The reversal of 48616848 is 84861684.

48616848 is a `hidden beast` number, since 486 + 168 + 4 + 8 = 666.

48616848 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.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 208540 + ... + 208772.

Almost surely, 248616848 is an apocalyptic number.

48616848 is a gapful number since it is divisible by the number (48) 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 48616848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84262464).

48616848 is an abundant number, since it is smaller than the sum of its proper divisors (119908080).

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

48616848 is a wasteful number, since it uses less digits than its factorization.

48616848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 48616848 is about 6972.5782892700. The cubic root of 48616848 is about 364.9742847962.

The spelling of 48616848 in words is "forty-eight million, six hundred sixteen thousand, eight hundred forty-eight".