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52205580 = 22335721973
BaseRepresentation
bin1100011100100…
…1100000001100
310122020022121000
43013021200030
5101331034310
65102540300
71202511600
oct307114014
9118208530
1052205580
1127517909
1215597690
13aa7b29b
146d0d500
1548b34c0
hex31c980c

52205580 has 144 divisors (see below), whose sum is σ = 189030240. Its totient is φ = 11926656.

The previous prime is 52205563. The next prime is 52205599. The reversal of 52205580 is 8550225.

It is a super-3 number, since 3×522055803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25474 + ... + 27446.

It is an arithmetic number, because the mean of its divisors is an integer number (1312710).

Almost surely, 252205580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52205580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94515120).

52205580 is an abundant number, since it is smaller than the sum of its proper divisors (136824660).

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

52205580 is a wasteful number, since it uses less digits than its factorization.

52205580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 52205580 is about 7225.3428984374. The cubic root of 52205580 is about 373.7423468715.

The spelling of 52205580 in words is "fifty-two million, two hundred five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 630 735 756 882 945 980 1260 1323 1470 1764 1890 1973 2205 2646 2940 3780 3946 4410 5292 5919 6615 7892 8820 9865 11838 13230 13811 17757 19730 23676 26460 27622 29595 35514 39460 41433 53271 55244 59190 69055 71028 82866 88785 96677 106542 118380 124299 138110 165732 177570 193354 207165 213084 248598 266355 276220 290031 355140 372897 386708 414330 483385 497196 532710 580062 621495 745794 828660 870093 966770 1065420 1160124 1242990 1450155 1491588 1740186 1864485 1933540 2485980 2610279 2900310 3480372 3728970 4350465 5220558 5800620 7457940 8700930 10441116 13051395 17401860 26102790 52205580