Search a number
-
+
4744427688 = 23337111321943
BaseRepresentation
bin1000110101100101…
…00011100010101000
3110020122110220021000
410122302203202220
534204033141223
62102441315000
7225366653460
oct43262434250
913218426230
104744427688
112015118820
12b04a95a60
135a7c17a80
14330174ba0
151cb7c1543
hex11aca38a8

4744427688 has 256 divisors, whose sum is σ = 17695641600. Its totient is φ = 1137473280.

The previous prime is 4744427663. The next prime is 4744427689. The reversal of 4744427688 is 8867244474.

It is a super-2 number, since 2×47444276882 = 45019188173322050688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4744427689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205245 + ... + 227187.

It is an arithmetic number, because the mean of its divisors is an integer number (69123600).

Almost surely, 24744427688 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 4744427688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847820800).

4744427688 is an abundant number, since it is smaller than the sum of its proper divisors (12951213912).

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

4744427688 is a wasteful number, since it uses less digits than its factorization.

4744427688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21979 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The square root of 4744427688 is about 68879.8060972880. The cubic root of 4744427688 is about 1680.3301137011.

The spelling of 4744427688 in words is "four billion, seven hundred forty-four million, four hundred twenty-seven thousand, six hundred eighty-eight".