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40856046 = 23711191463
BaseRepresentation
bin1001101111011…
…0100111101110
32211212200221220
42123312213232
540424343141
64015404210
71004161560
oct233664756
984780856
1040856046
1121075830
1211823666
13860639a
1455d7330
1538c0766
hex26f69ee

40856046 has 64 divisors (see below), whose sum is σ = 102629376. Its totient is φ = 10533600.

The previous prime is 40856033. The next prime is 40856059. The reversal of 40856046 is 64065804.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40856033) and next prime (40856059).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40855998 and 40856016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88011 + ... + 88473.

It is an arithmetic number, because the mean of its divisors is an integer number (1603584).

Almost surely, 240856046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40856046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51314688).

40856046 is an abundant number, since it is smaller than the sum of its proper divisors (61773330).

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

40856046 is a wasteful number, since it uses less digits than its factorization.

40856046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 40856046 is about 6391.8734342914. The cubic root of 40856046 is about 344.4176860317.

It can be divided in two parts, 40 and 856046, that added together give a triangular number (856086 = T1308).

The spelling of 40856046 in words is "forty million, eight hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 191 231 382 462 463 573 926 1146 1337 1389 2101 2674 2778 3241 4011 4202 5093 6303 6482 8022 9723 10186 12606 14707 15279 19446 29414 30558 35651 44121 71302 88242 88433 106953 176866 213906 265299 530598 619031 972763 1238062 1857093 1945526 2918289 3714186 5836578 6809341 13618682 20428023 40856046