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42442560 = 2632514737
BaseRepresentation
bin1010000111100…
…1111101000000
32221212022020200
42201321331000
541331130220
64113405200
71023520146
oct241717500
987768220
1042442560
1121a597a6
1212269800
138a40554
1458cb596
153ad5890
hex2879f40

42442560 has 84 divisors (see below), whose sum is σ = 145994628. Its totient is φ = 11317248.

The previous prime is 42442541. The next prime is 42442571. The reversal of 42442560 is 6524424.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 16064064 = 5136^2 + 4008^2 .

It is a congruent number.

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, 4489 + ... + 10248.

Almost surely, 242442560 is an apocalyptic number.

42442560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442560 is an abundant number, since it is smaller than the sum of its proper divisors (103552068).

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

42442560 is a wasteful number, since it uses less digits than its factorization.

42442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14760 (or 14747 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 42442560 is about 6514.7954687772. The cubic root of 42442560 is about 348.8193140835.

Adding to 42442560 its reverse (6524424), we get a palindrome (48966984).

The spelling of 42442560 in words is "forty-two million, four hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14737 29474 44211 58948 73685 88422 117896 132633 147370 176844 221055 235792 265266 294740 353688 442110 471584 530532 589480 663165 707376 884220 943168 1061064 1178960 1326330 1414752 1768440 2122128 2357920 2652660 2829504 3536880 4244256 4715840 5305320 7073760 8488512 10610640 14147520 21221280 42442560