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40823712 = 2532236163
BaseRepresentation
bin1001101110111…
…0101110100000
32211211001121100
42123232232200
540422324322
64014554400
71003665366
oct233565640
984731540
1040823712
1121053506
1211808a00
1385c4757
1455c9636
1538b5dac
hex26eeba0

40823712 has 72 divisors (see below), whose sum is σ = 121159584. Its totient is φ = 13014144.

The previous prime is 40823707. The next prime is 40823729. The reversal of 40823712 is 21732804.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×408237122 = 3333150922917888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3543 + ... + 9705.

It is an arithmetic number, because the mean of its divisors is an integer number (1682772).

Almost surely, 240823712 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 40823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60579792).

40823712 is an abundant number, since it is smaller than the sum of its proper divisors (80335872).

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

40823712 is a wasteful number, since it uses less digits than its factorization.

40823712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40823712 is about 6389.3436282610. The cubic root of 40823712 is about 344.3268031908.

The spelling of 40823712 in words is "forty million, eight hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6163 6624 12326 18489 24652 36978 49304 55467 73956 98608 110934 141749 147912 197216 221868 283498 295824 425247 443736 566996 591648 850494 887472 1133992 1275741 1700988 1774944 2267984 2551482 3401976 4535968 5102964 6803952 10205928 13607904 20411856 40823712