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42440040 = 23325117889
BaseRepresentation
bin1010000111100…
…1010101101000
32221212011210100
42201321111220
541331040130
64113345400
71023506616
oct241712550
987764710
1042440040
1121a57915
1212268260
138a3c366
1458ca6b6
153ad4c60
hex2879568

42440040 has 48 divisors (see below), whose sum is σ = 137931300. Its totient is φ = 11317248.

The previous prime is 42440039. The next prime is 42440051. The reversal of 42440040 is 4004424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 40985604 + 1454436 = 6402^2 + 1206^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42439995 and 42440022.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58585 + ... + 59304.

Almost surely, 242440040 is an apocalyptic number.

42440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42440040 is an abundant number, since it is smaller than the sum of its proper divisors (95491260).

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

42440040 is a wasteful number, since it uses less digits than its factorization.

42440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117906 (or 117899 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42440040 is about 6514.6020599880. The cubic root of 42440040 is about 348.8124103053.

Adding to 42440040 its reverse (4004424), we get a palindrome (46444464).

The spelling of 42440040 in words is "forty-two million, four hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 117889 235778 353667 471556 589445 707334 943112 1061001 1178890 1414668 1768335 2122002 2357780 2829336 3536670 4244004 4715560 5305005 7073340 8488008 10610010 14146680 21220020 42440040