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52069680 = 24325135563
BaseRepresentation
bin1100011010100…
…0010100110000
310121222102011200
43012220110300
5101312212210
65100011200
71201404435
oct306502460
9117872150
1052069680
11274347a3
1215530b00
13aa31480
146cb5b8c
1548880c0
hex31a8530

52069680 has 120 divisors (see below), whose sum is σ = 188352528. Its totient is φ = 12814848.

The previous prime is 52069651. The next prime is 52069711. The reversal of 52069680 is 8696025.

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

It is a super-2 number, since 2×520696802 = 5422503150604800, which contains 22 as substring.

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

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, 6579 + ... + 12141.

Almost surely, 252069680 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 52069680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94176264).

52069680 is an abundant number, since it is smaller than the sum of its proper divisors (136282848).

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

52069680 is a wasteful number, since it uses less digits than its factorization.

52069680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5586 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 52069680 is about 7215.9323721886. The cubic root of 52069680 is about 373.4177601010.

The spelling of 52069680 in words is "fifty-two million, sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 5563 9360 11126 16689 22252 27815 33378 44504 50067 55630 66756 72319 83445 89008 100134 111260 133512 144638 166890 200268 216957 222520 250335 267024 289276 333780 361595 400536 433914 445040 500670 578552 650871 667560 723190 801072 867828 1001340 1084785 1157104 1301742 1335120 1446380 1735656 2002680 2169570 2603484 2892760 3254355 3471312 4005360 4339140 5206968 5785520 6508710 8678280 10413936 13017420 17356560 26034840 52069680