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40509963 = 3413173173
BaseRepresentation
bin1001101010001…
…0001000001011
32211020010020000
42122202020023
540332304323
64004134043
71001220564
oct232421013
984203200
1040509963
112095980a
1211697323
1385149c0
14554716b
153852e43
hex26a220b

40509963 has 80 divisors (see below), whose sum is σ = 72205056. Its totient is φ = 22394880.

The previous prime is 40509961. The next prime is 40509977. The reversal of 40509963 is 36990504.

It is not a de Polignac number, because 40509963 - 21 = 40509961 is a prime.

It is a super-2 number, since 2×405099632 = 3282114204522738, which contains 22 as substring.

40509963 is a modest number, since divided by 9963 gives 405 as remainder.

It is not an unprimeable number, because it can be changed into a prime (40509961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554895 + ... + 554967.

Almost surely, 240509963 is an apocalyptic number.

40509963 is a deficient number, since it is larger than the sum of its proper divisors (31695093).

40509963 is a wasteful number, since it uses less digits than its factorization.

40509963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 40509963 is about 6364.7437497514. The cubic root of 40509963 is about 343.4424304276.

The spelling of 40509963 in words is "forty million, five hundred nine thousand, nine hundred sixty-three".

Divisors: 1 3 9 13 17 27 31 39 51 73 81 93 117 153 219 221 279 351 403 459 527 657 663 837 949 1053 1209 1241 1377 1581 1971 1989 2263 2511 2847 3627 3723 4743 5913 5967 6789 6851 8541 10881 11169 14229 16133 17901 20367 20553 25623 29419 32643 33507 38471 42687 48399 61101 61659 76869 88257 100521 115413 145197 183303 184977 264771 346239 435591 500123 554931 794313 1038717 1306773 1500369 2382939 3116151 4501107 13503321 40509963