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252075560 = 23511718069
BaseRepresentation
bin11110000011001…
…01111000101000
3122120022202122212
433001211320220
51004012404220
641002504252
76150415112
oct1701457050
9576282585
10252075560
1111a321110
1270505088
13402bb349
142569a3b2
15171e40c5
hexf065e28

252075560 has 64 divisors (see below), whose sum is σ = 627523200. Its totient is φ = 90361600.

The previous prime is 252075557. The next prime is 252075587. The reversal of 252075560 is 65570252.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27206 + ... + 35274.

It is an arithmetic number, because the mean of its divisors is an integer number (9805050).

Almost surely, 2252075560 is an apocalyptic number.

252075560 is a gapful number since it is divisible by the number (20) 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 252075560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313761600).

252075560 is an abundant number, since it is smaller than the sum of its proper divisors (375447640).

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

252075560 is a wasteful number, since it uses less digits than its factorization.

252075560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8162 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 252075560 is about 15876.8876043134. The cubic root of 252075560 is about 631.6990836331.

The spelling of 252075560 in words is "two hundred fifty-two million, seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2840 3124 3905 6248 7810 8069 15620 16138 31240 32276 40345 64552 80690 88759 161380 177518 322760 355036 443795 572899 710072 887590 1145798 1775180 2291596 2864495 3550360 4583192 5728990 6301889 11457980 12603778 22915960 25207556 31509445 50415112 63018890 126037780 252075560