Search a number
-
+
2448216 = 233237919
BaseRepresentation
bin1001010101101101011000
311121101022200
421111231120
51111320331
6124250200
726544441
oct11255530
94541280
102448216
111422421
129a0960
13679464
1447a2c8
153355e6
hex255b58

2448216 has 48 divisors (see below), whose sum is σ = 6817200. Its totient is φ = 793152.

The previous prime is 2448203. The next prime is 2448223. The reversal of 2448216 is 6128442.

2448216 is a `hidden beast` number, since 2 + 448 + 216 = 666.

2448216 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 an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2448216.

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 11 ways as a sum of consecutive naturals, for example, 2205 + ... + 3123.

It is an arithmetic number, because the mean of its divisors is an integer number (142025).

22448216 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 2448216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408600).

2448216 is an abundant number, since it is smaller than the sum of its proper divisors (4368984).

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

2448216 is a wasteful number, since it uses less digits than its factorization.

2448216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 961 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2448216 is about 1564.6776025750. The cubic root of 2448216 is about 134.7772458196. Note that the first 3 decimals are identical.

The spelling of 2448216 in words is "two million, four hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 919 1332 1838 2664 2757 3676 5514 7352 8271 11028 16542 22056 33084 34003 66168 68006 102009 136012 204018 272024 306027 408036 612054 816072 1224108 2448216