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40285824 = 273104911
BaseRepresentation
bin1001100110101…
…1011010000000
32210210201202120
42121223122000
540303121244
63555244240
7666265245
oct231533200
983721676
1040285824
1120816377
12115a9680
138466987
1454c95cc
15380b819
hex266b680

40285824 has 32 divisors (see below), whose sum is σ = 107010240. Its totient is φ = 13428480.

The previous prime is 40285807. The next prime is 40285829. The reversal of 40285824 is 42858204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40285829) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 52072 + ... + 52839.

It is an arithmetic number, because the mean of its divisors is an integer number (3344070).

Almost surely, 240285824 is an apocalyptic number.

It is an amenable number.

40285824 is an abundant number, since it is smaller than the sum of its proper divisors (66724416).

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

40285824 is a wasteful number, since it uses less digits than its factorization.

40285824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104928 (or 104916 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 40285824 is about 6347.1114690070. Note that the first 3 decimals coincide. The cubic root of 40285824 is about 342.8078437053.

The spelling of 40285824 in words is "forty million, two hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 104911 209822 314733 419644 629466 839288 1258932 1678576 2517864 3357152 5035728 6714304 10071456 13428608 20142912 40285824