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42441040 = 245530513
BaseRepresentation
bin1010000111100…
…1100101010000
32221212020011101
42201321211100
541331103130
64113354144
71023512545
oct241714520
987766141
1042441040
1121a58644
1212268954
138a3c955
1458cabcc
153ad51ca
hex2879950

42441040 has 20 divisors (see below), whose sum is σ = 98675604. Its totient is φ = 16976384.

The previous prime is 42441037. The next prime is 42441053. The reversal of 42441040 is 4014424.

It can be written as a sum of positive squares in 2 ways, for example, as 32855824 + 9585216 = 5732^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 42440999 and 42441017.

It is a congruent number.

It is an unprimeable number.

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, 265177 + ... + 265336.

Almost surely, 242441040 is an apocalyptic number.

42441040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42441040 is an abundant number, since it is smaller than the sum of its proper divisors (56234564).

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

42441040 is a wasteful number, since it uses less digits than its factorization.

42441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530526 (or 530520 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42441040 is about 6514.6788101947. The cubic root of 42441040 is about 348.8151499325.

Adding to 42441040 its reverse (4014424), we get a palindrome (46455464).

The spelling of 42441040 in words is "forty-two million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 530513 1061026 2122052 2652565 4244104 5305130 8488208 10610260 21220520 42441040