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427440200 = 235211972003
BaseRepresentation
bin11001011110100…
…011100001001000
31002210022012201112
4121132203201020
51333411041300
6110225305452
713410116225
oct3136434110
91083265645
10427440200
111aa308170
12bb195288
136a72b3c5
1440aa894c
15277d3e35
hex197a3848

427440200 has 96 divisors (see below), whose sum is σ = 1095867360. Its totient is φ = 153753600.

The previous prime is 427440187. The next prime is 427440203. The reversal of 427440200 is 2044724.

It is not an unprimeable number, because it can be changed into a prime (427440203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212399 + ... + 214401.

It is an arithmetic number, because the mean of its divisors is an integer number (11415285).

Almost surely, 2427440200 is an apocalyptic number.

427440200 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 427440200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547933680).

427440200 is an abundant number, since it is smaller than the sum of its proper divisors (668427160).

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

427440200 is a wasteful number, since it uses less digits than its factorization.

427440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 427440200 is about 20674.6269615681. The cubic root of 427440200 is about 753.2835001538.

Adding to 427440200 its reverse (2044724), we get a palindrome (429484924).

The spelling of 427440200 in words is "four hundred twenty-seven million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 194 200 220 275 388 440 485 550 776 970 1067 1100 1940 2003 2134 2200 2425 3880 4006 4268 4850 5335 8012 8536 9700 10015 10670 16024 19400 20030 21340 22033 26675 40060 42680 44066 50075 53350 80120 88132 100150 106700 110165 176264 194291 200300 213400 220330 388582 400600 440660 550825 777164 881320 971455 1101650 1554328 1942910 2137201 2203300 3885820 4274402 4406600 4857275 7771640 8548804 9714550 10686005 17097608 19429100 21372010 38858200 42744020 53430025 85488040 106860050 213720100 427440200