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4497714225 = 32521722632
BaseRepresentation
bin1000011000001010…
…11010110000110001
3102121110020120000100
410030011122300301
533202403323400
62022145343013
7216312640314
oct41405326061
912543216010
104497714225
1119a892a2a4
12a56337a69
13568a86284
143094b297b
151b4cdb100
hex10c15ac31

4497714225 has 81 divisors (see below), whose sum is σ = 8590320193. Its totient is φ = 2249091840.

The previous prime is 4497714211. The next prime is 4497714233. The reversal of 4497714225 is 5224177944.

The square root of 4497714225 is 67065.

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 105206049 + 4392508176 = 10257^2 + 66276^2 .

It is not a de Polignac number, because 4497714225 - 27 = 4497714097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

Its product of digits (564480) is a multiple of the sum of its prime divisors (288).

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 80 ways as a sum of consecutive naturals, for example, 17101444 + ... + 17101706.

Almost surely, 24497714225 is an apocalyptic number.

4497714225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4497714225 is the 67065-th square number.

4497714225 is the 33533-rd centered octagonal number.

It is an amenable number.

4497714225 is a deficient number, since it is larger than the sum of its proper divisors (4092605968).

4497714225 is a wasteful number, since it uses less digits than its factorization.

4497714225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The cubic root of 4497714225 is about 1650.6840414462.

The spelling of 4497714225 in words is "four billion, four hundred ninety-seven million, seven hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 263 289 425 765 789 867 1275 1315 1445 2367 2601 3825 3945 4335 4471 6575 7225 11835 13005 13413 19725 21675 22355 40239 59175 65025 67065 69169 76007 111775 201195 207507 228021 335325 345845 380035 622521 684063 1005975 1037535 1140105 1175873 1729225 1900175 3112605 3420315 3527619 5187675 5700525 5879365 10582857 15563025 17101575 17638095 19989841 29396825 52914285 59969523 88190475 99949205 179908569 264571425 299847615 499746025 899542845 1499238075 4497714225