Search a number
-
+
428247288 = 233272114027
BaseRepresentation
bin11001100001101…
…000100011111000
31002211211012211200
4121201220203320
51334112403123
6110254454200
713420020240
oct3141504370
91084735750
10428247288
111aa809587
12bb504360
136a951881
1440c38b20
15278e3143
hex198688f8

428247288 has 96 divisors (see below), whose sum is σ = 1332140160. Its totient is φ = 121746240.

The previous prime is 428247283. The next prime is 428247293. The reversal of 428247288 is 882742824.

It is an interprime number because it is at equal distance from previous prime (428247283) and next prime (428247293).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428247283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104331 + ... + 108357.

It is an arithmetic number, because the mean of its divisors is an integer number (13876460).

Almost surely, 2428247288 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 428247288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666070080).

428247288 is an abundant number, since it is smaller than the sum of its proper divisors (903892872).

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

428247288 is a wasteful number, since it uses less digits than its factorization.

428247288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4250 counting only the distinct ones).

The product of its digits is 458752, while the sum is 45.

The square root of 428247288 is about 20694.1365608715. The cubic root of 428247288 is about 753.7573160020.

The spelling of 428247288 in words is "four hundred twenty-eight million, two hundred forty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 211 252 422 504 633 844 1266 1477 1688 1899 2532 2954 3798 4027 4431 5064 5908 7596 8054 8862 11816 12081 13293 15192 16108 17724 24162 26586 28189 32216 35448 36243 48324 53172 56378 72486 84567 96648 106344 112756 144972 169134 225512 253701 289944 338268 507402 676536 849697 1014804 1699394 2029608 2549091 3398788 5098182 5947879 6797576 7647273 10196364 11895758 15294546 17843637 20392728 23791516 30589092 35687274 47583032 53530911 61178184 71374548 107061822 142749096 214123644 428247288