Search a number
-
+
4427242680 = 23357173173137
BaseRepresentation
bin1000001111110001…
…00101110010111000
3102102112122020020010
410013320211302320
533031333231210
62011151101520
7214465641030
oct40770456270
912375566203
104427242680
111972076a53
12a368118a0
135572b0c33
142dddaa8c0
151ada1a920
hex107e25cb8

4427242680 has 512 divisors, whose sum is σ = 16940482560. Its totient is φ = 902430720.

The previous prime is 4427242679. The next prime is 4427242681. The reversal of 4427242680 is 862427244.

4427242680 = T6279 + T6280 + ... + T6495.

It is an interprime number because it is at equal distance from previous prime (4427242679) and next prime (4427242681).

It is a super-2 number, since 2×44272426802 = 39200955495227164800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4427242681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32315572 + ... + 32315708.

It is an arithmetic number, because the mean of its divisors is an integer number (33086880).

Almost surely, 24427242680 is an apocalyptic number.

4427242680 is a gapful number since it is divisible by the number (40) 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 4427242680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8470241280).

4427242680 is an abundant number, since it is smaller than the sum of its proper divisors (12513239880).

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

4427242680 is a wasteful number, since it uses less digits than its factorization.

4427242680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 39.

The square root of 4427242680 is about 66537.5283580627. The cubic root of 4427242680 is about 1642.0174804518.

The spelling of 4427242680 in words is "four billion, four hundred twenty-seven million, two hundred forty-two thousand, six hundred eighty".