Search a number
-
+
428259645 = 325113767349
BaseRepresentation
bin11001100001101…
…011100100111101
31002211211211210100
4121201223210331
51334113302040
6110255031313
713420101252
oct3141534475
91084754710
10428259645
111aa8178a0
12bb50b539
136a957398
1440c3d429
15278e6b30
hex1986b93d

428259645 has 96 divisors (see below), whose sum is σ = 846518400. Its totient is φ = 198443520.

The previous prime is 428259619. The next prime is 428259649. The reversal of 428259645 is 546952824.

It is not a de Polignac number, because 428259645 - 25 = 428259613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 428259645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428259649) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1226931 + ... + 1227279.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2428259645 is an apocalyptic number.

428259645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428259645 is a deficient number, since it is larger than the sum of its proper divisors (418258755).

428259645 is a wasteful number, since it uses less digits than its factorization.

428259645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 472 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 428259645 is about 20694.4351215490. The cubic root of 428259645 is about 753.7645657771.

The spelling of 428259645 in words is "four hundred twenty-eight million, two hundred fifty-nine thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 67 99 111 165 185 201 333 335 349 407 495 555 603 737 1005 1047 1221 1665 1745 2035 2211 2479 3015 3141 3663 3685 3839 5235 6105 6633 7437 11055 11517 12395 12913 15705 18315 19195 22311 23383 27269 33165 34551 37185 38739 57585 64565 70149 81807 111555 116217 116915 136345 142043 172755 193695 210447 245421 257213 350745 409035 426129 581085 710215 771639 865171 1052235 1227105 1278387 1286065 2130645 2314917 2595513 3858195 4325855 6391935 7786539 9516881 11574585 12977565 28550643 38932695 47584405 85651929 142753215 428259645