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676780225 = 52114432
BaseRepresentation
bin101000010101101…
…101100011000001
31202011110222221021
4220111231203001
52341223431400
6151053425441
722525352122
oct5025554301
91664428837
10676780225
11318030000
1216a79b281
13aa29c594
1465c52049
153e63771a
hex2856d8c1

676780225 has 45 divisors (see below), whose sum is σ = 945089715. Its totient is φ = 480757200.

The previous prime is 676780207. The next prime is 676780229. The reversal of 676780225 is 522087676.

The square root of 676780225 is 26015.

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., 243640881 + 433139344 = 15609^2 + 20812^2 .

It is not a de Polignac number, because 676780225 - 229 = 139909313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (676780229) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 15739054 + ... + 15739096.

Almost surely, 2676780225 is an apocalyptic number.

676780225 is the 26015-th square number.

676780225 is the 13008-th centered octagonal number.

It is an amenable number.

676780225 is a deficient number, since it is larger than the sum of its proper divisors (268309490).

676780225 is an frugal number, since it uses more digits than its factorization.

676780225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

The cubic root of 676780225 is about 877.9758162748.

The spelling of 676780225 in words is "six hundred seventy-six million, seven hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 43 55 121 215 275 473 605 1075 1331 1849 2365 3025 5203 6655 9245 11825 14641 20339 26015 33275 46225 57233 73205 101695 130075 223729 286165 366025 508475 629563 1118645 1430825 2461019 3147815 5593225 12305095 15739075 27071209 61525475 135356045 676780225