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729270025 = 521124912
BaseRepresentation
bin101011011101111…
…100011100001001
31212211020202101221
4223131330130021
52443143120100
6200210442041
724033456451
oct5335743411
91784222357
10729270025
11344721400
12184293321
13b811a033
146cbd6d61
154405501a
hex2b77c709

729270025 has 27 divisors (see below), whose sum is σ = 996005479. Its totient is φ = 529298000.

The previous prime is 729270013. The next prime is 729270041. The reversal of 729270025 is 520072927.

The square root of 729270025 is 27005.

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., 262537209 + 466732816 = 16203^2 + 21604^2 .

It is not a de Polignac number, because 729270025 - 213 = 729261833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1485030 + ... + 1485520.

Almost surely, 2729270025 is an apocalyptic number.

729270025 is the 27005-th square number.

729270025 is the 13503-rd centered octagonal number.

It is an amenable number.

729270025 is a deficient number, since it is larger than the sum of its proper divisors (266735454).

729270025 is an equidigital number, since it uses as much as digits as its factorization.

729270025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The cubic root of 729270025 is about 900.1111076820. Note that the first 4 decimals are identical.

The spelling of 729270025 in words is "seven hundred twenty-nine million, two hundred seventy thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 491 605 2455 3025 5401 12275 27005 59411 135025 241081 297055 1205405 1485275 2651891 6027025 13259455 29170801 66297275 145854005 729270025