Search a number
-
+
40406445 = 345195989
BaseRepresentation
bin1001101000100…
…0110110101101
32211000212020000
42122020312231
540321001240
64002014513
71000310022
oct232106655
984025200
1040406445
1120898a62
1211647439
1384a9851
14551b549
153832430
hex2688dad

40406445 has 80 divisors (see below), whose sum is σ = 78408000. Its totient is φ = 19844352.

The previous prime is 40406441. The next prime is 40406459. The reversal of 40406445 is 54460404.

40406445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40406445 - 22 = 40406441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 453961 + ... + 454049.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 240406445 is an apocalyptic number.

40406445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40406445 is a deficient number, since it is larger than the sum of its proper divisors (38001555).

40406445 is a wasteful number, since it uses less digits than its factorization.

40406445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 40406445 is about 6356.6064059371. The cubic root of 40406445 is about 343.1496399039.

Adding to 40406445 its reverse (54460404), we get a palindrome (94866849).

The spelling of 40406445 in words is "forty million, four hundred six thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 59 81 89 95 135 171 177 267 285 295 405 445 513 531 801 855 885 1121 1335 1539 1593 1691 2403 2565 2655 3363 4005 4779 5073 5251 5605 7209 7695 7965 8455 10089 12015 15219 15753 16815 23895 25365 26255 30267 36045 45657 47259 50445 76095 78765 90801 99769 136971 141777 151335 228285 236295 299307 425331 454005 498845 684855 708885 897921 1496535 2126655 2693763 4489605 8081289 13468815 40406445