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42414440 = 2351060361
BaseRepresentation
bin1010000111001…
…1000101101000
32221210212200012
42201303011220
541324230230
64113031052
71023342155
oct241630550
987725605
1042414440
1121a3a662
1212255488
138a30803
1458c122c
153acc395
hex2873168

42414440 has 16 divisors (see below), whose sum is σ = 95432580. Its totient is φ = 16965760.

The previous prime is 42414433. The next prime is 42414457. The reversal of 42414440 is 4441424.

It can be written as a sum of positive squares in 2 ways, for example, as 41809156 + 605284 = 6466^2 + 778^2 .

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, 530141 + ... + 530220.

Almost surely, 242414440 is an apocalyptic number.

42414440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42414440 is an abundant number, since it is smaller than the sum of its proper divisors (53018140).

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

42414440 is a wasteful number, since it uses less digits than its factorization.

42414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060372 (or 1060368 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 42414440 is about 6512.6369467367. The cubic root of 42414440 is about 348.7422611901.

Adding to 42414440 its reverse (4441424), we get a palindrome (46855864).

The spelling of 42414440 in words is "forty-two million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1060361 2120722 4241444 5301805 8482888 10603610 21207220 42414440