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716472289 = 132292712
BaseRepresentation
bin101010101101000…
…111111111100001
31211221011120012201
4222231013333201
52431404103124
6155032253201
723516625331
oct5255077741
91757146181
10716472289
11338480265
1217bb41201
13b5588c00
146b2250c1
1542d78144
hex2ab47fe1

716472289 has 27 divisors (see below), whose sum is σ = 814976409. Its totient is φ = 629559840.

The previous prime is 716472283. The next prime is 716472299. The reversal of 716472289 is 982274617.

The square root of 716472289 is 26767.

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

It can be written as a sum of positive squares in 4 ways, for example, as 91872225 + 624600064 = 9585^2 + 24992^2 .

It is not a de Polignac number, because 716472289 - 25 = 716472257 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (716472283) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10091124 + ... + 10091194.

Almost surely, 2716472289 is an apocalyptic number.

716472289 is the 26767-th square number.

716472289 is the 13384-th centered octagonal number.

It is an amenable number.

716472289 is a deficient number, since it is larger than the sum of its proper divisors (98504120).

716472289 is an equidigital number, since it uses as much as digits as its factorization.

716472289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 113 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The cubic root of 716472289 is about 894.8147464645.

The spelling of 716472289 in words is "seven hundred sixteen million, four hundred seventy-two thousand, two hundred eighty-nine".

Divisors: 1 13 29 71 169 377 841 923 2059 4901 5041 10933 11999 26767 59711 65533 142129 146189 347971 776243 851929 1900457 4239481 10091159 24705941 55113253 716472289