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52686720 = 273353049
BaseRepresentation
bin1100100011111…
…0111110000000
310200010202121000
43020332332000
5101441433340
65121132000
71206554412
oct310767600
9120122530
1052686720
1127816349
121578a000
13abb9298
146dd69b2
15495ad30
hex323ef80

52686720 has 128 divisors (see below), whose sum is σ = 186660000. Its totient is φ = 14045184.

The previous prime is 52686719. The next prime is 52686727. The reversal of 52686720 is 2768625.

52686720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52686727) by changing a digit.

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, 15756 + ... + 18804.

Almost surely, 252686720 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 52686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93330000).

52686720 is an abundant number, since it is smaller than the sum of its proper divisors (133973280).

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

52686720 is a wasteful number, since it uses less digits than its factorization.

52686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52686720 is about 7258.5618410261. The cubic root of 52686720 is about 374.8870059563.

The spelling of 52686720 in words is "fifty-two million, six hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3049 3456 4320 5760 6098 8640 9147 12196 15245 17280 18294 24392 27441 30490 36588 45735 48784 54882 60980 73176 82323 91470 97568 109764 121960 137205 146352 164646 182940 195136 219528 243920 274410 292704 329292 365880 390272 411615 439056 487840 548820 585408 658584 731760 823230 878112 975680 1097640 1170816 1317168 1463520 1646460 1756224 1951360 2195280 2634336 2927040 3292920 3512448 4390560 5268672 5854080 6585840 8781120 10537344 13171680 17562240 26343360 52686720