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4284357025 = 52132192532
BaseRepresentation
bin1111111101011110…
…0001100110100001
3102001120202212221211
43333113201212201
532233243411100
61545044350121
7211112301544
oct37727414641
912046685854
104284357025
1118a9453933
129b69a5341
13533803300
142c901485b
151a11e41ba
hexff5e19a1

4284357025 has 81 divisors (see below), whose sum is σ = 6188125419. Its totient is φ = 2940762240.

The previous prime is 4284357001. The next prime is 4284357029. The reversal of 4284357025 is 5207534824.

The square root of 4284357025 is 65455.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3364812049 + 919544976 = 58007^2 + 30324^2 .

It is not a de Polignac number, because 4284357025 - 27 = 4284356897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4284357029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80836899 + ... + 80836951.

Almost surely, 24284357025 is an apocalyptic number.

4284357025 is the 65455-th square number.

4284357025 is the 32728-th centered octagonal number.

It is an amenable number.

4284357025 is a deficient number, since it is larger than the sum of its proper divisors (1903768394).

4284357025 is a wasteful number, since it uses less digits than its factorization.

4284357025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

The cubic root of 4284357025 is about 1624.1590315245.

The spelling of 4284357025 in words is "four billion, two hundred eighty-four million, three hundred fifty-seven thousand, twenty-five".

Divisors: 1 5 13 19 25 53 65 95 169 247 265 325 361 475 689 845 1007 1235 1325 1805 2809 3211 3445 4225 4693 5035 6175 8957 9025 13091 14045 16055 17225 19133 23465 25175 36517 44785 53371 61009 65455 70225 80275 95665 117325 170183 182585 223925 248729 266855 305045 327275 474721 478325 693823 850915 912925 1014049 1243645 1334275 1525225 2373605 3233477 3469115 4254575 5070245 6218225 9019699 11868025 13182637 16167385 17345575 25351225 45098495 65913185 80836925 171374281 225492475 329565925 856871405 4284357025