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440790025 = 52132172192
BaseRepresentation
bin11010010001011…
…110110000001001
31010201102110020111
4122101132300021
51400320240100
6111423354321
713631440054
oct3221366011
91121373214
10440790025
112068a6085
121037529a1
1370423900
1442781a9b
1528a6e6ba
hex1a45ec09

440790025 has 81 divisors (see below), whose sum is σ = 663553791. Its totient is φ = 290234880.

The previous prime is 440790013. The next prime is 440790037. The reversal of 440790025 is 520097044.

The square root of 440790025 is 20995.

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

It is an interprime number because it is at equal distance from previous prime (440790013) and next prime (440790037).

It can be written as a sum of positive squares in 13 ways, for example, as 321018889 + 119771136 = 17917^2 + 10944^2 .

It is not a de Polignac number, because 440790025 - 27 = 440789897 is a prime.

It is a super-2 number, since 2×4407900252 = 388591692279001250, which contains 22 as substring.

It is a Duffinian number.

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, 23199466 + ... + 23199484.

Almost surely, 2440790025 is an apocalyptic number.

440790025 is the 20995-th square number.

440790025 is the 10498-th centered octagonal number.

It is an amenable number.

440790025 is a deficient number, since it is larger than the sum of its proper divisors (222763766).

440790025 is a wasteful number, since it uses less digits than its factorization.

440790025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The cubic root of 440790025 is about 761.0454362656.

The spelling of 440790025 in words is "four hundred forty million, seven hundred ninety thousand, twenty-five".

Divisors: 1 5 13 17 19 25 65 85 95 169 221 247 289 323 325 361 425 475 845 1105 1235 1445 1615 1805 2873 3211 3757 4199 4225 4693 5491 5525 6137 6175 7225 8075 9025 14365 16055 18785 20995 23465 27455 30685 48841 54587 61009 71383 71825 79781 80275 93925 104329 104975 117325 137275 153425 244205 272935 305045 356915 398905 521645 927979 1037153 1221025 1356277 1364675 1525225 1784575 1994525 2608225 4639895 5185765 6781385 17631601 23199475 25928825 33906925 88158005 440790025