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40553928 = 2332563249
BaseRepresentation
bin1001101010110…
…0110111001000
32211022100112100
42122230313020
540340211203
64005113400
71001463012
oct232546710
984270470
1040553928
1120989848
12116b8860
13852ba0c
1455591b2
153860ea3
hex26acdc8

40553928 has 24 divisors (see below), whose sum is σ = 109833750. Its totient is φ = 13517952.

The previous prime is 40553917. The next prime is 40553941. The reversal of 40553928 is 82935504.

40553928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 39917124 + 636804 = 6318^2 + 798^2 .

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

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

It is a junction number, because it is equal to n+sod(n) for n = 40553892 and 40553901.

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 5 ways as a sum of consecutive naturals, for example, 281553 + ... + 281696.

Almost surely, 240553928 is an apocalyptic number.

It is an amenable number.

40553928 is an abundant number, since it is smaller than the sum of its proper divisors (69279822).

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

40553928 is a wasteful number, since it uses less digits than its factorization.

40553928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563261 (or 563254 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 40553928 is about 6368.1966050052. The cubic root of 40553928 is about 343.5666302228.

The spelling of 40553928 in words is "forty million, five hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 563249 1126498 1689747 2252996 3379494 4505992 5069241 6758988 10138482 13517976 20276964 40553928