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42440200 = 235211101191
BaseRepresentation
bin1010000111100…
…1011000001000
32221212012000021
42201321120020
541331041300
64113350224
71023510235
oct241713010
987765007
1042440200
1121a57a50
1212268374
138a3c45a
1458ca78c
153ad4d1a
hex2879608

42440200 has 96 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 15200000.

The previous prime is 42440197. The next prime is 42440249. The reversal of 42440200 is 204424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222105 + ... + 222295.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 242440200 is an apocalyptic number.

42440200 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 42440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

42440200 is an abundant number, since it is smaller than the sum of its proper divisors (66838520).

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

42440200 is a wasteful number, since it uses less digits than its factorization.

42440200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 42440200 is about 6514.6143400818. The cubic root of 42440200 is about 348.8128486485.

Adding to 42440200 its reverse (204424), we get a palindrome (42644624).

The spelling of 42440200 in words is "forty-two million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 191 200 202 220 275 382 404 440 505 550 764 808 955 1010 1100 1111 1528 1910 2020 2101 2200 2222 2525 3820 4040 4202 4444 4775 5050 5555 7640 8404 8888 9550 10100 10505 11110 16808 19100 19291 20200 21010 22220 27775 38200 38582 42020 44440 52525 55550 77164 84040 96455 105050 111100 154328 192910 210100 212201 222200 385820 420200 424402 482275 771640 848804 964550 1061005 1697608 1929100 2122010 3858200 4244020 5305025 8488040 10610050 21220100 42440200