Search a number
-
+
42440000 = 26541061
BaseRepresentation
bin1010000111100…
…1010101000000
32221212011201212
42201321111000
541331040000
64113345252
71023506531
oct241712500
987764655
1042440000
1121a57889
1212268228
138a3c335
1458ca688
153ad4c35
hex2879540

42440000 has 70 divisors (see below), whose sum is σ = 105336594. Its totient is φ = 16960000.

The previous prime is 42439981. The next prime is 42440029. The reversal of 42440000 is 4424.

It can be written as a sum of positive squares in 5 ways, for example, as 13366336 + 29073664 = 3656^2 + 5392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39470 + ... + 40530.

Almost surely, 242440000 is an apocalyptic number.

42440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52668297).

42440000 is an abundant number, since it is smaller than the sum of its proper divisors (62896594).

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

42440000 is an equidigital number, since it uses as much as digits as its factorization.

42440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42440000 is about 6514.5989899609. The cubic root of 42440000 is about 348.8123007193.

Adding to 42440000 its reverse (4424), we get a palindrome (42444424).

The spelling of 42440000 in words is "forty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1061 1250 1600 2000 2122 2500 4000 4244 5000 5305 8000 8488 10000 10610 16976 20000 21220 26525 33952 40000 42440 53050 67904 84880 106100 132625 169760 212200 265250 339520 424400 530500 663125 848800 1061000 1326250 1697600 2122000 2652500 4244000 5305000 8488000 10610000 21220000 42440000