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1745986225 = 526121372
BaseRepresentation
bin110100000010001…
…1010001010110001
311111200101021211111
41220010122022301
512033433024400
6445130313321
761160431564
oct15004321261
94450337744
101745986225
11816622325
12408888841
1321a95aa59
14127c564db
15a34393ba
hex6811a2b1

1745986225 has 27 divisors (see below), whose sum is σ = 2217280611. Its totient is φ = 1363862400.

The previous prime is 1745986219. The next prime is 1745986237. The reversal of 1745986225 is 5226895471.

The square root of 1745986225 is 41785.

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 1717853809 + 28132416 = 41447^2 + 5304^2 .

It is not a de Polignac number, because 1745986225 - 219 = 1745461937 is a prime.

It is a Duffinian number.

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, 12744357 + ... + 12744493.

Almost surely, 21745986225 is an apocalyptic number.

1745986225 is the 41785-th square number.

1745986225 is the 20893-rd centered octagonal number.

It is an amenable number.

1745986225 is a deficient number, since it is larger than the sum of its proper divisors (471294386).

1745986225 is an frugal number, since it uses more digits than its factorization.

1745986225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 203 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 49.

The cubic root of 1745986225 is about 1204.1491155088.

Multiplying 1745986225 by its sum of digits (49), we get a square (85553325025 = 2924952).

It can be divided in two parts, 17459 and 86225, that added together give a square (103684 = 3222).

The spelling of 1745986225 in words is "one billion, seven hundred forty-five million, nine hundred eighty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 61 137 305 685 1525 3425 3721 8357 18605 18769 41785 93025 93845 208925 469225 509777 1144909 2548885 5724545 12744425 28622725 69839449 349197245 1745986225