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435528225 = 33521158657
BaseRepresentation
bin11001111101011…
…010001000100001
31010100112010102000
4121331122020201
51342443400400
6111114514213
713535633406
oct3175321041
91110463360
10435528225
11203931890
12101a35969
136c300912
1441bb22ad
1528380600
hex19f5a221

435528225 has 48 divisors (see below), whose sum is σ = 872831040. Its totient is φ = 211161600.

The previous prime is 435528167. The next prime is 435528259. The reversal of 435528225 is 522825534.

It is a happy number.

435528225 is a `hidden beast` number, since 4 + 3 + 552 + 82 + 25 = 666.

It is not a de Polignac number, because 435528225 - 210 = 435527201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 435528225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21904 + ... + 36753.

It is an arithmetic number, because the mean of its divisors is an integer number (18183980).

Almost surely, 2435528225 is an apocalyptic number.

435528225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

435528225 is an abundant number, since it is smaller than the sum of its proper divisors (437302815).

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

435528225 is a wasteful number, since it uses less digits than its factorization.

435528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58687 (or 58676 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 435528225 is about 20869.3129977965. The cubic root of 435528225 is about 758.0050548137.

The spelling of 435528225 in words is "four hundred thirty-five million, five hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 58657 175971 293285 527913 645227 879855 1466425 1583739 1935681 2639565 3226135 4399275 5807043 7918695 9678405 13197825 16130675 17421129 29035215 39593475 48392025 87105645 145176075 435528225