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40890368 = 21267149
BaseRepresentation
bin1001101111111…
…1000000000000
32211221110001002
42123333000000
540431442433
64020231132
71004363621
oct233770000
984843032
1040890368
11210995a2
121183b4a8
138618bac
145605a48
1538ca9e8
hex26ff000

40890368 has 52 divisors (see below), whose sum is σ = 83548200. Its totient is φ = 20004864.

The previous prime is 40890361. The next prime is 40890383. The reversal of 40890368 is 86309804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40890361) 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, 274358 + ... + 274506.

Almost surely, 240890368 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 40890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41774100).

40890368 is an abundant number, since it is smaller than the sum of its proper divisors (42657832).

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

40890368 is an equidigital number, since it uses as much as digits as its factorization.

40890368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 40890368 is about 6394.5576860327. The cubic root of 40890368 is about 344.5141041985.

The spelling of 40890368 in words is "forty million, eight hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 128 134 149 256 268 298 512 536 596 1024 1072 1192 2048 2144 2384 4096 4288 4768 8576 9536 9983 17152 19072 19966 34304 38144 39932 68608 76288 79864 137216 152576 159728 274432 305152 319456 610304 638912 1277824 2555648 5111296 10222592 20445184 40890368