Search a number
-
+
48332816 = 24738807
BaseRepresentation
bin1011100001100…
…0000000010000
310100221120011022
42320120000100
544333122231
64443535012
71124552000
oct270300020
9110846138
1048332816
1125312184
121422a468
13a0235cc
1465c2000
15439ac7b
hex2e18010

48332816 has 40 divisors (see below), whose sum is σ = 109219200. Its totient is φ = 20711712.

The previous prime is 48332803. The next prime is 48332831. The reversal of 48332816 is 61823384.

It is a happy number.

It is a super-2 number, since 2×483328162 = 4672122204979712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085 + ... + 9891.

It is an arithmetic number, because the mean of its divisors is an integer number (2730480).

Almost surely, 248332816 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 48332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54609600).

48332816 is an abundant number, since it is smaller than the sum of its proper divisors (60886384).

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

48332816 is an equidigital number, since it uses as much as digits as its factorization.

48332816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8836 (or 8816 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 48332816 is about 6952.1806650863. The cubic root of 48332816 is about 364.2621385889.

The spelling of 48332816 in words is "forty-eight million, three hundred thirty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 8807 17614 35228 61649 70456 123298 140912 246596 431543 493192 863086 986384 1726172 3020801 3452344 6041602 6904688 12083204 24166408 48332816