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4384426225 = 52172192412
BaseRepresentation
bin1000001010101010…
…10000100011110001
3102022120001221002111
410011111100203301
532434403114400
62003021245321
7213436002514
oct40525204361
912276057074
104384426225
11194a992353
12a24403841
1354b46c45a
142d8422d7b
151a9dae3ba
hex1055508f1

4384426225 has 81 divisors (see below), whose sum is σ = 6247558371. Its totient is φ = 3051187200.

The previous prime is 4384426213. The next prime is 4384426247. The reversal of 4384426225 is 5226244834.

The square root of 4384426225 is 66215.

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

4384426225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 3796654689 + 587771536 = 61617^2 + 24244^2 .

It is not a de Polignac number, because 4384426225 - 29 = 4384425713 is a prime.

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, 106937205 + ... + 106937245.

Almost surely, 24384426225 is an apocalyptic number.

4384426225 is the 66215-th square number.

4384426225 is the 33108-th centered octagonal number.

It is an amenable number.

4384426225 is a deficient number, since it is larger than the sum of its proper divisors (1863132146).

4384426225 is a wasteful number, since it uses less digits than its factorization.

4384426225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The cubic root of 4384426225 is about 1636.7069337233.

The spelling of 4384426225 in words is "four billion, three hundred eighty-four million, four hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 5 17 19 25 41 85 95 205 289 323 361 425 475 697 779 1025 1445 1615 1681 1805 3485 3895 5491 6137 7225 8075 8405 9025 11849 13243 14801 17425 19475 27455 28577 30685 31939 42025 59245 66215 74005 104329 137275 142885 153425 159695 225131 251617 296225 331075 370025 485809 521645 542963 606841 714425 798475 1125655 1258085 2429045 2608225 2714815 3034205 4277489 5628275 6290425 9230371 10316297 12145225 13574075 15171025 21387445 46151855 51581485 106937225 175377049 230759275 257907425 876885245 4384426225