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2753628025 = 521491734273
BaseRepresentation
bin1010010000100001…
…0000011101111001
321002220102210112011
42210020100131321
521114412044100
61133123445521
7125144311021
oct24410203571
97086383464
102753628025
111193395545
1264a2268a1
1334b6422c5
141c19d2a81
15111b29bba
hexa4210779

2753628025 has 24 divisors (see below), whose sum is σ = 3458093400. Its totient is φ = 2174960640.

The previous prime is 2753628001. The next prime is 2753628043. The reversal of 2753628025 is 5208263572.

It can be written as a sum of positive squares in 12 ways, for example, as 959512576 + 1794115449 = 30976^2 + 42357^2 .

It is not a de Polignac number, because 2753628025 - 27 = 2753627897 is a prime.

It is an unprimeable number.

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, 642289 + ... + 646561.

It is an arithmetic number, because the mean of its divisors is an integer number (144087225).

Almost surely, 22753628025 is an apocalyptic number.

2753628025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2753628025 is a deficient number, since it is larger than the sum of its proper divisors (704465375).

2753628025 is a wasteful number, since it uses less digits than its factorization.

2753628025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The square root of 2753628025 is about 52475.0228680274. The cubic root of 2753628025 is about 1401.6355078409.

The spelling of 2753628025 in words is "two billion, seven hundred fifty-three million, six hundred twenty-eight thousand, twenty-five".

Divisors: 1 5 25 149 173 745 865 3725 4273 4325 21365 25777 106825 128885 636677 644425 739229 3183385 3696145 15916925 18480725 110145121 550725605 2753628025