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40716984 = 23371122003
BaseRepresentation
bin1001101101010…
…0101010111000
32211121122012110
42123110222320
540410420414
64012412320
71003042260
oct233245270
984548173
1040716984
1120a90300
12117770a0
138587cb9
14559c7a0
153894459
hex26d4ab8

40716984 has 96 divisors (see below), whose sum is σ = 127935360. Its totient is φ = 10570560.

The previous prime is 40716947. The next prime is 40717007. The reversal of 40716984 is 48961704.

It is a happy number.

40716984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19327 + ... + 21329.

It is an arithmetic number, because the mean of its divisors is an integer number (1332660).

Almost surely, 240716984 is an apocalyptic number.

40716984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40716984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63967680).

40716984 is an abundant number, since it is smaller than the sum of its proper divisors (87218376).

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

40716984 is a wasteful number, since it uses less digits than its factorization.

40716984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 40716984 is about 6380.9861306854. The cubic root of 40716984 is about 344.0264762387.

It can be divided in two parts, 407169 and 84, that added together give a triangular number (407253 = T902).

The spelling of 40716984 in words is "forty million, seven hundred sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 726 847 924 968 1452 1694 1848 2003 2541 2904 3388 4006 5082 6009 6776 8012 10164 12018 14021 16024 20328 22033 24036 28042 42063 44066 48072 56084 66099 84126 88132 112168 132198 154231 168252 176264 242363 264396 308462 336504 462693 484726 528792 616924 727089 925386 969452 1233848 1454178 1696541 1850772 1938904 2908356 3393082 3701544 5089623 5816712 6786164 10179246 13572328 20358492 40716984