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40021605 = 3251337432
BaseRepresentation
bin1001100010101…
…0111001100101
32210022022022200
42120222321211
540221142410
63545445113
7664115031
oct230527145
983268280
1040021605
1120655908
12114a0799
1383a3630
14545b1c1
1537a83c0
hex262ae65

40021605 has 72 divisors (see below), whose sum is σ = 78551928. Its totient is φ = 18724608.

The previous prime is 40021603. The next prime is 40021607. The reversal of 40021605 is 50612004.

It is a happy number.

40021605 is a `hidden beast` number, since 40 + 0 + 21 + 605 = 666.

40021605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40021603) and next prime (40021607).

It can be written as a sum of positive squares in 4 ways, for example, as 4809249 + 35212356 = 2193^2 + 5934^2 .

It is not a de Polignac number, because 40021605 - 21 = 40021603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40021603) 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 71 ways as a sum of consecutive naturals, for example, 930714 + ... + 930756.

It is an arithmetic number, because the mean of its divisors is an integer number (1090999).

Almost surely, 240021605 is an apocalyptic number.

40021605 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40021605 is a deficient number, since it is larger than the sum of its proper divisors (38530323).

40021605 is a wasteful number, since it uses less digits than its factorization.

40021605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40021605 is about 6326.2631149834. The cubic root of 40021605 is about 342.0567516368.

Adding to 40021605 its reverse (50612004), we get a palindrome (90633609).

The spelling of 40021605 in words is "forty million, twenty-one thousand, six hundred five".

Divisors: 1 3 5 9 13 15 37 39 43 45 65 111 117 129 185 195 215 333 387 481 555 559 585 645 1443 1591 1665 1677 1849 1935 2405 2795 4329 4773 5031 5547 7215 7955 8385 9245 14319 16641 20683 21645 23865 24037 25155 27735 62049 68413 71595 72111 83205 103415 120185 186147 205239 216333 310245 342065 360555 615717 889369 930735 1026195 1081665 2668107 3078585 4446845 8004321 13340535 40021605