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40982656 = 2711132239
BaseRepresentation
bin1001110001010…
…1100010000000
32212010010122011
42130111202000
540442421111
64022222304
71005226651
oct234254200
985103564
1040982656
1121151970
1211884994
13864bbc0
14562b528
1538e8021
hex2715880

40982656 has 64 divisors (see below), whose sum is σ = 95961600. Its totient is φ = 17187840.

The previous prime is 40982653. The next prime is 40982659. The reversal of 40982656 is 65628904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40982653) and next prime (40982659).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40982653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17185 + ... + 19423.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400).

Almost surely, 240982656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40982656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47980800).

40982656 is an abundant number, since it is smaller than the sum of its proper divisors (54978944).

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

40982656 is a wasteful number, since it uses less digits than its factorization.

40982656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 40982656 is about 6401.7697553099. The cubic root of 40982656 is about 344.7730945140.

The spelling of 40982656 in words is "forty million, nine hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1408 1664 2239 2288 4478 4576 8956 9152 17912 18304 24629 29107 35824 49258 58214 71648 98516 116428 143296 197032 232856 286592 320177 394064 465712 640354 788128 931424 1280708 1576256 1862848 2561416 3152512 3725696 5122832 10245664 20491328 40982656