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2732257441 = 16723132
BaseRepresentation
bin1010001011011010…
…1111000010100001
321001102020001121001
42202312233002201
521043424214231
61131041432001
7124464543064
oct24266570241
97042201531
102732257441
111182319501
1264303b601
1334709c0a4
141bcc2c8db
1510ed07b61
hexa2daf0a1

2732257441 has 9 divisors (see below), whose sum is σ = 2757526131. Its totient is φ = 2707219632.

The previous prime is 2732257427. The next prime is 2732257477. The reversal of 2732257441 is 1447522372.

The square root of 2732257441 is 52271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17430625 + 2714826816 = 4175^2 + 52104^2 .

It is not a de Polignac number, because 2732257441 - 27 = 2732257313 is a prime.

It is a Duffinian number.

Its product of digits (94080) is a multiple of the sum of its prime divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 2732257441.

It is not an unprimeable number, because it can be changed into a prime (2732257481) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8729101 + ... + 8729413.

Almost surely, 22732257441 is an apocalyptic number.

2732257441 is the 52271-st square number.

2732257441 is the 26136-th centered octagonal number.

It is an amenable number.

2732257441 is a deficient number, since it is larger than the sum of its proper divisors (25268690).

2732257441 is an frugal number, since it uses more digits than its factorization.

2732257441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 480 counting only the distinct ones).

The product of its digits is 94080, while the sum is 37.

The cubic root of 2732257441 is about 1398.0001106902. Note that the first 3 decimals are identical.

The spelling of 2732257441 in words is "two billion, seven hundred thirty-two million, two hundred fifty-seven thousand, four hundred forty-one".

Divisors: 1 167 313 27889 52271 97969 8729257 16360823 2732257441