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40448565 = 3105137
BaseRepresentation
bin1001101001001…
…1001000110101
32211010000000000
42122103020311
540323323230
64002541513
71000543563
oct232231065
984100000
1040448565
1120917673
1211667899
1384c2a81
14552ca33
15383eb60
hex2693235

40448565 has 44 divisors (see below), whose sum is σ = 73338444. Its totient is φ = 21415104.

The previous prime is 40448563. The next prime is 40448579. The reversal of 40448565 is 56584404.

It can be written as a sum of positive squares in 2 ways, for example, as 19131876 + 21316689 = 4374^2 + 4617^2 .

It is not a de Polignac number, because 40448565 - 21 = 40448563 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40448563) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 295177 + ... + 295313.

Almost surely, 240448565 is an apocalyptic number.

40448565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40448565 is a deficient number, since it is larger than the sum of its proper divisors (32889879).

40448565 is an frugal number, since it uses more digits than its factorization.

40448565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 40448565 is about 6359.9186315550. The cubic root of 40448565 is about 343.2688324701.

It can be divided in two parts, 404485 and 65, that added together give a triangular number (404550 = T899).

The spelling of 40448565 in words is "forty million, four hundred forty-eight thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 137 243 405 411 685 729 1215 1233 2055 2187 3645 3699 6165 6561 10935 11097 18495 19683 32805 33291 55485 59049 98415 99873 166455 295245 299619 499365 898857 1498095 2696571 4494285 8089713 13482855 40448565