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252248720 = 24517185477
BaseRepresentation
bin11110000100100…
…00001010010000
3122120122120012012
433002100022100
51004033424340
641010322052
76152036003
oct1702201220
9576576165
10252248720
1111a42a219
1270589328
134034c0c9
142570353a
151722a565
hexf090290

252248720 has 40 divisors (see below), whose sum is σ = 620980344. Its totient is φ = 94963712.

The previous prime is 252248713. The next prime is 252248743. The reversal of 252248720 is 27842252.

It can be written as a sum of positive squares in 4 ways, for example, as 38738176 + 213510544 = 6224^2 + 14612^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91379 + ... + 94098.

Almost surely, 2252248720 is an apocalyptic number.

252248720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252248720 is an abundant number, since it is smaller than the sum of its proper divisors (368731624).

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

252248720 is a wasteful number, since it uses less digits than its factorization.

252248720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185507 (or 185501 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 252248720 is about 15882.3398779903. The cubic root of 252248720 is about 631.8436963252.

The spelling of 252248720 in words is "two hundred fifty-two million, two hundred forty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 185477 370954 741908 927385 1483816 1854770 2967632 3153109 3709540 6306218 7419080 12612436 14838160 15765545 25224872 31531090 50449744 63062180 126124360 252248720