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52560720 = 24325371973
BaseRepresentation
bin1100100010000…
…0001101010000
310122220100202100
43020200031100
5101423420340
65114320400
71205521152
oct310401520
9118810670
1052560720
112773a713
1215729100
13ab73b24
146da2ad2
154933830
hex3220350

52560720 has 120 divisors (see below), whose sum is σ = 181379016. Its totient is φ = 13630464.

The previous prime is 52560713. The next prime is 52560743. The reversal of 52560720 is 2706525.

52560720 is a `hidden beast` number, since 52 + 5 + 607 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7884864 + 44675856 = 2808^2 + 6684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25654 + ... + 27626.

Almost surely, 252560720 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 52560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90689508).

52560720 is an abundant number, since it is smaller than the sum of its proper divisors (128818296).

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

52560720 is a wasteful number, since it uses less digits than its factorization.

52560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2029 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 52560720 is about 7249.8772403400. The cubic root of 52560720 is about 374.5879206742.

The spelling of 52560720 in words is "fifty-two million, five hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 1973 2220 2664 2960 3330 3946 4440 5328 5919 6660 7892 8880 9865 11838 13320 15784 17757 19730 23676 26640 29595 31568 35514 39460 47352 59190 71028 73001 78920 88785 94704 118380 142056 146002 157840 177570 219003 236760 284112 292004 355140 365005 438006 473520 584008 657009 710280 730010 876012 1095015 1168016 1314018 1420560 1460020 1752024 2190030 2628036 2920040 3285045 3504048 4380060 5256072 5840080 6570090 8760120 10512144 13140180 17520240 26280360 52560720