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1825938361 = 1321921732
BaseRepresentation
bin110110011010101…
…1001101110111001
311201020211021112201
41230311121232321
512214420011421
6501104110201
763151135312
oct15465315671
94636737481
101825938361
11857770575
1242b605361
132313a2400
14134709609
15aa47db91
hex6cd59bb9

1825938361 has 27 divisors (see below), whose sum is σ = 2098871469. Its totient is φ = 1587542112.

The previous prime is 1825938349. The next prime is 1825938383. The reversal of 1825938361 is 1638395281.

The square root of 1825938361 is 42731.

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 14584761 + 1811353600 = 3819^2 + 42560^2 .

It is not a de Polignac number, because 1825938361 - 223 = 1817549753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1825938341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10554471 + ... + 10554643.

Almost surely, 21825938361 is an apocalyptic number.

1825938361 is the 42731-st square number.

1825938361 is the 21366-th centered octagonal number.

It is an amenable number.

1825938361 is a deficient number, since it is larger than the sum of its proper divisors (272933108).

1825938361 is an equidigital number, since it uses as much as digits as its factorization.

1825938361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The cubic root of 1825938361 is about 1222.2556052005.

The spelling of 1825938361 in words is "one billion, eight hundred twenty-five million, nine hundred thirty-eight thousand, three hundred sixty-one".

Divisors: 1 13 19 169 173 247 361 2249 3211 3287 4693 29237 29929 42731 61009 62453 389077 555503 568651 811889 5058001 7392463 10554557 10804369 96102019 140456797 1825938361