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428272482 = 23112619953
BaseRepresentation
bin11001100001101…
…110101101100010
31002211212111101210
4121201232231202
51334114204412
6110255210550
713420153551
oct3141565542
91084774353
10428272482
111aa826500
12bb516a56
136a960191
1440c43d98
15278ea83c
hex1986eb62

428272482 has 48 divisors (see below), whose sum is σ = 944002080. Its totient is φ = 129433920.

The previous prime is 428272459. The next prime is 428272487. The reversal of 428272482 is 284272824.

It is a self number, because there is not a number n which added to its sum of digits gives 428272482.

It is not an unprimeable number, because it can be changed into a prime (428272487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448918 + ... + 449870.

It is an arithmetic number, because the mean of its divisors is an integer number (19666710).

Almost surely, 2428272482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428272482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472001040).

428272482 is an abundant number, since it is smaller than the sum of its proper divisors (515729598).

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

428272482 is a wasteful number, since it uses less digits than its factorization.

428272482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1588 counting only the distinct ones).

The product of its digits is 114688, while the sum is 39.

The square root of 428272482 is about 20694.7452750692. The cubic root of 428272482 is about 753.7720970175.

The spelling of 428272482 in words is "four hundred twenty-eight million, two hundred seventy-two thousand, four hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 619 726 953 1238 1857 1906 2859 3714 5718 6809 10483 13618 20427 20966 31449 40854 62898 74899 115313 149798 224697 230626 345939 449394 589907 691878 1179814 1769721 3539442 6488977 12977954 19466931 38933862 71378747 142757494 214136241 428272482