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1026241225 = 524321492
BaseRepresentation
bin111101001010110…
…011001011001001
32122112001110022021
4331022303023021
54100204204400
6245455524441
734300622632
oct7512631311
92575043267
101026241225
11487317249
12247829721
131347c7339
149a41c889
156016671a
hex3d2b32c9

1026241225 has 27 divisors (see below), whose sum is σ = 1311623733. Its totient is φ = 796518240.

The previous prime is 1026241207. The next prime is 1026241231. The reversal of 1026241225 is 5221426201.

The square root of 1026241225 is 32035.

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 306285001 + 719956224 = 17501^2 + 26832^2 .

It is not a de Polignac number, because 1026241225 - 217 = 1026110153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1026241225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6887451 + ... + 6887599.

Almost surely, 21026241225 is an apocalyptic number.

1026241225 is the 32035-th square number.

1026241225 is the 16018-th centered octagonal number.

It is an amenable number.

1026241225 is a deficient number, since it is larger than the sum of its proper divisors (285382508).

1026241225 is an frugal number, since it uses more digits than its factorization.

1026241225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The cubic root of 1026241225 is about 1008.6716599508.

Multiplying 1026241225 by its sum of digits (25), we get a square (25656030625 = 1601752).

1026241225 divided by its sum of digits (25) gives a square (41049649 = 64072).

Adding to 1026241225 its reverse (5221426201), we get a palindrome (6247667426).

The spelling of 1026241225 in words is "one billion, twenty-six million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 25 43 149 215 745 1075 1849 3725 6407 9245 22201 32035 46225 111005 160175 275501 555025 954643 1377505 4773215 6887525 23866075 41049649 205248245 1026241225