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40816940 = 22519233461
BaseRepresentation
bin1001101110110…
…1000100101100
32211210201022112
42123231010230
540422120230
64014503152
71003636553
oct233550454
984721275
1040816940
112104940a
1211804ab8
1385c1648
1455c6d9a
1538b3d95
hex26ed12c

40816940 has 48 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 15367680.

The previous prime is 40816939. The next prime is 40816981. The reversal of 40816940 is 4961804.

40816940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40816897 and 40816906.

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 15 ways as a sum of consecutive naturals, for example, 88310 + ... + 88770.

It is an arithmetic number, because the mean of its divisors is an integer number (1891890).

Almost surely, 240816940 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 40816940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

40816940 is an abundant number, since it is smaller than the sum of its proper divisors (49993780).

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

40816940 is a wasteful number, since it uses less digits than its factorization.

40816940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 40816940 is about 6388.8136613929. The cubic root of 40816940 is about 344.3077627039.

The spelling of 40816940 in words is "forty million, eight hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 233 380 461 466 922 932 1165 1844 2305 2330 4427 4610 4660 8759 8854 9220 17518 17708 22135 35036 43795 44270 87590 88540 107413 175180 214826 429652 537065 1074130 2040847 2148260 4081694 8163388 10204235 20408470 40816940