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40284904 = 2311736271
BaseRepresentation
bin1001100110101…
…1001011101000
32210210200111111
42121223023220
540303104104
63555240104
7666262462
oct231531350
983720444
1040284904
1120815710
12115a9034
13846642a
1454c9132
15380b404
hex266b2e8

40284904 has 32 divisors (see below), whose sum is σ = 83543040. Its totient is φ = 18057600.

The previous prime is 40284899. The next prime is 40284913. The reversal of 40284904 is 40948204.

40284904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3289 + ... + 9559.

It is an arithmetic number, because the mean of its divisors is an integer number (2610720).

Almost surely, 240284904 is an apocalyptic number.

40284904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40284904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41771520).

40284904 is an abundant number, since it is smaller than the sum of its proper divisors (43258136).

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

40284904 is a wasteful number, since it uses less digits than its factorization.

40284904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6361 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 40284904 is about 6347.0389946809. The cubic root of 40284904 is about 342.8052341387.

The spelling of 40284904 in words is "forty million, two hundred eighty-four thousand, nine hundred four".

Divisors: 1 2 4 8 11 22 44 73 88 146 292 584 803 1606 3212 6271 6424 12542 25084 50168 68981 137962 275924 457783 551848 915566 1831132 3662264 5035613 10071226 20142452 40284904