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40433796 = 22331331929
BaseRepresentation
bin1001101000111…
…1100010000100
32211002020202000
42122033202010
540322340141
64002345300
71000452534
oct232174204
984066660
1040433796
1120907567
121165b230
1384b9130
1455274c4
15383a5b6
hex268f884

40433796 has 96 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 12026880.

The previous prime is 40433777. The next prime is 40433807. The reversal of 40433796 is 69733404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40433796.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43060 + ... + 43988.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 240433796 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 40433796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

40433796 is an abundant number, since it is smaller than the sum of its proper divisors (76225404).

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

40433796 is a wasteful number, since it uses less digits than its factorization.

40433796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 40433796 is about 6358.7574257869. The cubic root of 40433796 is about 343.2270480907.

The spelling of 40433796 in words is "forty million, four hundred thirty-three thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 929 1116 1209 1404 1612 1674 1858 2418 2787 3348 3627 3716 4836 5574 7254 8361 10881 11148 12077 14508 16722 21762 24154 25083 28799 33444 36231 43524 48308 50166 57598 72462 86397 100332 108693 115196 144924 172794 217386 259191 326079 345588 374387 434772 518382 652158 748774 777573 1036764 1123161 1304316 1497548 1555146 2246322 3110292 3369483 4492644 6738966 10108449 13477932 20216898 40433796