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4266400 = 25525333
BaseRepresentation
bin10000010001100110100000
322000202101211
4100101212200
52043011100
6231235504
751156325
oct20214640
98022354
104266400
112454456
121518b94
13b64bc8
147d0b4c
155941ba
hex4119a0

4266400 has 36 divisors (see below), whose sum is σ = 10417302. Its totient is φ = 1706240.

The previous prime is 4266397. The next prime is 4266443. The reversal of 4266400 is 46624.

It can be written as a sum of positive squares in 3 ways, for example, as 4145296 + 121104 = 2036^2 + 348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1867 + ... + 3466.

Almost surely, 24266400 is an apocalyptic number.

4266400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4266400 is an abundant number, since it is smaller than the sum of its proper divisors (6150902).

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

4266400 is a wasteful number, since it uses less digits than its factorization.

4266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4266400 is about 2065.5265672462. The cubic root of 4266400 is about 162.1886741438.

The spelling of 4266400 in words is "four million, two hundred sixty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 5333 10666 21332 26665 42664 53330 85328 106660 133325 170656 213320 266650 426640 533300 853280 1066600 2133200 4266400