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52806000 = 2435313677
BaseRepresentation
bin1100100101110…
…0000101110000
310200100211012210
43021130011300
5102004243000
65123452120
71210562232
oct311340560
9120324183
1052806000
1127897a25
1215827040
13ac2b670
147028252
154981350
hex325c170

52806000 has 160 divisors (see below), whose sum is σ = 183613248. Its totient is φ = 12979200.

The previous prime is 52805981. The next prime is 52806041. The reversal of 52806000 is 60825.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 77662 + ... + 78338.

Almost surely, 252806000 is an apocalyptic number.

52806000 is a gapful number since it is divisible by the number (50) 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 52806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91806624).

52806000 is an abundant number, since it is smaller than the sum of its proper divisors (130807248).

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

52806000 is a wasteful number, since it uses less digits than its factorization.

52806000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 52806000 is about 7266.7736995176. The cubic root of 52806000 is about 375.1697009704.

Adding to 52806000 its reverse (60825), we get a palindrome (52866825).

The spelling of 52806000 in words is "fifty-two million, eight hundred six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 677 750 780 975 1000 1040 1200 1300 1354 1500 1560 1625 1950 2000 2031 2600 2708 3000 3120 3250 3385 3900 4062 4875 5200 5416 6000 6500 6770 7800 8124 8801 9750 10155 10832 13000 13540 15600 16248 16925 17602 19500 20310 26000 26403 27080 32496 33850 35204 39000 40620 44005 50775 52806 54160 67700 70408 78000 81240 84625 88010 101550 105612 132015 135400 140816 162480 169250 176020 203100 211224 220025 253875 264030 270800 338500 352040 406200 422448 440050 507750 528060 660075 677000 704080 812400 880100 1015500 1056120 1100125 1320150 1354000 1760200 2031000 2112240 2200250 2640300 3300375 3520400 4062000 4400500 5280600 6600750 8801000 10561200 13201500 17602000 26403000 52806000