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428226498 = 232717316449
BaseRepresentation
bin11001100001100…
…011011111000010
31002211210011022200
4121201203133002
51334111221443
6110254214030
713416602520
oct3141433702
91084704280
10428226498
111aa7a49a7
12bb4b4316
136a94527b
1440c31310
15278dbdd3
hex198637c2

428226498 has 96 divisors (see below), whose sum is σ = 1159142400. Its totient is φ = 111421440.

The previous prime is 428226497. The next prime is 428226511. The reversal of 428226498 is 894622824.

It is not an unprimeable number, because it can be changed into a prime (428226497) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63178 + ... + 69626.

It is an arithmetic number, because the mean of its divisors is an integer number (12074400).

Almost surely, 2428226498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428226498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579571200).

428226498 is an abundant number, since it is smaller than the sum of its proper divisors (730915902).

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

428226498 is a wasteful number, since it uses less digits than its factorization.

428226498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6512 (or 6509 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 428226498 is about 20693.6342385768. The cubic root of 428226498 is about 753.7451183235.

The spelling of 428226498 in words is "four hundred twenty-eight million, two hundred twenty-six thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 434 527 558 651 714 1054 1071 1302 1581 1953 2142 3162 3689 3906 4743 6449 7378 9486 11067 12898 19347 22134 33201 38694 45143 58041 66402 90286 109633 116082 135429 199919 219266 270858 328899 399838 406287 599757 657798 767431 812574 986697 1199514 1399433 1534862 1799271 1973394 2302293 2798866 3398623 3598542 4198299 4604586 6797246 6906879 8396598 10195869 12594897 13813758 20391738 23790361 25189794 30587607 47580722 61175214 71371083 142742166 214113249 428226498