Search a number
-
+
40566048 = 253422563
BaseRepresentation
bin1001101010111…
…1110100100000
32211022222011020
42122233310200
540341103143
64005245440
71001543235
oct232576440
984288136
1040566048
1120997966
1211703880
1385343a3
14555d78c
153864883
hex26afd20

40566048 has 24 divisors (see below), whose sum is σ = 106486128. Its totient is φ = 13521984.

The previous prime is 40566047. The next prime is 40566049. The reversal of 40566048 is 84066504.

It is a happy number.

40566048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40566047) and next prime (40566049).

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (40566047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 211186 + ... + 211377.

It is an arithmetic number, because the mean of its divisors is an integer number (4436922).

Almost surely, 240566048 is an apocalyptic number.

40566048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40566048 is an abundant number, since it is smaller than the sum of its proper divisors (65920080).

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

40566048 is a wasteful number, since it uses less digits than its factorization.

40566048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422576 (or 422568 counting only the distinct ones).

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

The square root of 40566048 is about 6369.1481377026. The cubic root of 40566048 is about 343.6008530713.

The spelling of 40566048 in words is "forty million, five hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 422563 845126 1267689 1690252 2535378 3380504 5070756 6761008 10141512 13522016 20283024 40566048