Search a number
-
+
48295296 = 2732753113
BaseRepresentation
bin1011100000111…
…0110110000000
310100212122200200
42320032312000
544330422141
64443045200
71124334420
oct270166600
9110778620
1048295296
1125296a75
1214210800
13a00c4ca
1465b2480
15438eab6
hex2e0ed80

48295296 has 192 divisors, whose sum is σ = 163257120. Its totient is φ = 13418496.

The previous prime is 48295277. The next prime is 48295301. The reversal of 48295296 is 69259284.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427336 + ... + 427448.

Almost surely, 248295296 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 48295296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81628560).

48295296 is an abundant number, since it is smaller than the sum of its proper divisors (114961824).

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

48295296 is a wasteful number, since it uses less digits than its factorization.

48295296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 48295296 is about 6949.4817072930. The cubic root of 48295296 is about 364.1678572109.

The spelling of 48295296 in words is "forty-eight million, two hundred ninety-five thousand, two hundred ninety-six".