Search a number
-
+
428063265 = 33572163397
BaseRepresentation
bin11001100000111…
…011101000100001
31002211110212102000
4121200323220201
51334041011030
6110250514213
713415322600
oct3140735041
91084425360
10428063265
111aa6a32a3
12bb435969
136a8b8b96
1440bcba37
15278a8860
hex1983ba21

428063265 has 96 divisors (see below), whose sum is σ = 892920960. Its totient is φ = 193995648.

The previous prime is 428063239. The next prime is 428063267. The reversal of 428063265 is 562360824.

It is not a de Polignac number, because 428063265 - 213 = 428055073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428063267) 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 95 ways as a sum of consecutive naturals, for example, 1078047 + ... + 1078443.

It is an arithmetic number, because the mean of its divisors is an integer number (9301260).

Almost surely, 2428063265 is an apocalyptic number.

428063265 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428063265 is an abundant number, since it is smaller than the sum of its proper divisors (464857695).

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

428063265 is a wasteful number, since it uses less digits than its factorization.

428063265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 428063265 is about 20689.6898236779. The cubic root of 428063265 is about 753.6493343448.

The spelling of 428063265 in words is "four hundred twenty-eight million, sixty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 163 189 245 315 397 441 489 735 815 945 1141 1191 1323 1467 1985 2205 2445 2779 3423 3573 4401 5705 5955 6615 7335 7987 8337 10269 10719 13895 17115 17865 19453 22005 23961 25011 30807 39935 41685 51345 53595 58359 64711 71883 75033 97265 119805 125055 154035 175077 194133 215649 291795 323555 359415 375165 452977 525231 582399 875385 970665 1078245 1358931 1747197 2264885 2626155 2911995 3170839 4076793 6794655 8735985 9512517 12230379 15854195 20383965 28537551 47562585 61151895 85612653 142687755 428063265