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253035400 = 23521265177
BaseRepresentation
bin11110001010100…
…00001110001000
3122122010112022111
433011100032020
51004234113100
641035232104
76161523352
oct1705201610
9578115274
10253035400
1111a917272
12708a8634
13405661b7
142586a0d2
15173336ba
hexf150388

253035400 has 24 divisors (see below), whose sum is σ = 588307770. Its totient is φ = 101214080.

The previous prime is 253035389. The next prime is 253035403. The reversal of 253035400 is 4530352.

It can be written as a sum of positive squares in 3 ways, for example, as 126202756 + 126832644 = 11234^2 + 11262^2 .

It is not an unprimeable number, because it can be changed into a prime (253035403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 632389 + ... + 632788.

Almost surely, 2253035400 is an apocalyptic number.

253035400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253035400 is an abundant number, since it is smaller than the sum of its proper divisors (335272370).

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

253035400 is a wasteful number, since it uses less digits than its factorization.

253035400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265193 (or 1265184 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The square root of 253035400 is about 15907.0864711298. The cubic root of 253035400 is about 632.4998515833.

Adding to 253035400 its reverse (4530352), we get a palindrome (257565752).

It can be divided in two parts, 25303 and 5400, that added together give a palindrome (30703).

The spelling of 253035400 in words is "two hundred fifty-three million, thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1265177 2530354 5060708 6325885 10121416 12651770 25303540 31629425 50607080 63258850 126517700 253035400