Search a number
-
+
4674672288 = 25321113223509
BaseRepresentation
bin1000101101010000…
…11101011010100000
3110001210012221211200
410112220131122200
534033204003123
62051510241200
7223562026116
oct42650353240
913053187750
104674672288
111a89804530
12aa5656200
135966336a0
14324bb7ab6
151c55e3143
hex116a1d6a0

4674672288 has 288 divisors, whose sum is σ = 15718510080. Its totient is φ = 1299179520.

The previous prime is 4674672269. The next prime is 4674672323. The reversal of 4674672288 is 8822764764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×46746722882 = 43705122000390309888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9183778 + ... + 9184286.

It is an arithmetic number, because the mean of its divisors is an integer number (54578160).

Almost surely, 24674672288 is an apocalyptic number.

4674672288 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 4674672288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859255040).

4674672288 is an abundant number, since it is smaller than the sum of its proper divisors (11043837792).

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

4674672288 is a wasteful number, since it uses less digits than its factorization.

4674672288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 4674672288 is about 68371.5751464013. The cubic root of 4674672288 is about 1672.0543506214.

The spelling of 4674672288 in words is "four billion, six hundred seventy-four million, six hundred seventy-two thousand, two hundred eighty-eight".