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4438890625 = 56132412
BaseRepresentation
bin1000010001001010…
…00001100010000001
3102110100120000012111
410020211001202001
533042324000000
62012244455321
7214666643041
oct41045014201
912410500174
104438890625
111978702254
12a3a6aa541
1355982b900
1430175d721
151aea6bcba
hex108941881

4438890625 has 63 divisors (see below), whose sum is σ = 6158300079. Its totient is φ = 3198000000.

The previous prime is 4438890611. The next prime is 4438890641. The reversal of 4438890625 is 5260988344.

The square root of 4438890625 is 66625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 1394499649 + 3044390976 = 37343^2 + 55176^2 .

It is not a de Polignac number, because 4438890625 - 213 = 4438882433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 108265605 + ... + 108265645.

Almost surely, 24438890625 is an apocalyptic number.

4438890625 is the 66625-th square number.

4438890625 is the 33313-rd centered octagonal number.

It is an amenable number.

4438890625 is a deficient number, since it is larger than the sum of its proper divisors (1719409454).

4438890625 is an frugal number, since it uses more digits than its factorization.

4438890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The cubic root of 4438890625 is about 1643.4562525973.

Multiplying 4438890625 by its sum of digits (49), we get a square (217505640625 = 4663752).

The spelling of 4438890625 in words is "four billion, four hundred thirty-eight million, eight hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 13 25 41 65 125 169 205 325 533 625 845 1025 1625 1681 2665 3125 4225 5125 6929 8125 8405 13325 15625 21125 21853 25625 34645 40625 42025 66625 105625 109265 128125 173225 203125 210125 284089 333125 528125 546325 640625 866125 1050625 1420445 1665625 2640625 2731625 4330625 5253125 7102225 8328125 13658125 21653125 26265625 35511125 68290625 108265625 177555625 341453125 887778125 4438890625