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40999959 = 33711133741
BaseRepresentation
bin1001110001100…
…1110000010111
32212011000101000
42130121300113
540443444314
64022434343
71005331260
oct234316027
985130330
1040999959
1121163970
12118929b3
138656a40
145633967
1538ed209
hex2719c17

40999959 has 128 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 18662400.

The previous prime is 40999951. The next prime is 40999963. The reversal of 40999959 is 95999904.

It is a happy number.

40999959 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 40999959 - 23 = 40999951 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40999951) 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 127 ways as a sum of consecutive naturals, for example, 999979 + ... + 1000019.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 240999959 is an apocalyptic number.

40999959 is an abundant number, since it is smaller than the sum of its proper divisors (44801001).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40999959 is a wasteful number, since it uses less digits than its factorization.

40999959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 40999959 is about 6403.1210358699. The cubic root of 40999959 is about 344.8216090977.

Subtracting 40999959 from its reverse (95999904), we obtain a palindrome (54999945).

It can be divided in two parts, 40 and 999959, that added together give a palindrome (999999).

The spelling of 40999959 in words is "forty million, nine hundred ninety-nine thousand, nine hundred fifty-nine".

Divisors: 1 3 7 9 11 13 21 27 33 37 39 41 63 77 91 99 111 117 123 143 189 231 259 273 287 297 333 351 369 407 429 451 481 533 693 777 819 861 999 1001 1107 1221 1287 1353 1443 1517 1599 2079 2331 2457 2583 2849 3003 3157 3367 3663 3731 3861 4059 4329 4551 4797 5291 5863 6993 7749 8547 9009 9471 10101 10619 10989 11193 12177 12987 13653 14391 15873 16687 17589 19721 25641 27027 28413 30303 31857 33579 37037 40959 41041 47619 50061 52767 59163 76923 85239 90909 95571 100737 111111 116809 123123 138047 142857 150183 158301 177489 216931 286713 333333 350427 369369 414141 450549 532467 650793 999999 1051281 1108107 1242423 1518517 1952379 3153843 3727269 4555551 5857137 13666653 40999959