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52505520 = 2435172757
BaseRepresentation
bin1100100001001…
…0101110110000
310122210120000220
43020102232300
5101420134040
65113213040
71205201214
oct310225660
9118716026
1052505520
11277021a1
1215701180
13ab54972
146d8a944
1549222d0
hex3212bb0

52505520 has 120 divisors (see below), whose sum is σ = 173133264. Its totient is φ = 13160448.

The previous prime is 52505513. The next prime is 52505587. The reversal of 52505520 is 2550525.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 68982 + ... + 69738.

Almost surely, 252505520 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 52505520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86566632).

52505520 is an abundant number, since it is smaller than the sum of its proper divisors (120627744).

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

52505520 is a wasteful number, since it uses less digits than its factorization.

52505520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 24.

The square root of 52505520 is about 7246.0692792713. The cubic root of 52505520 is about 374.4567422583.

The spelling of 52505520 in words is "fifty-two million, five hundred five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 757 816 867 1020 1156 1360 1445 1514 1734 2040 2271 2312 2890 3028 3468 3785 4080 4335 4542 4624 5780 6056 6936 7570 8670 9084 11355 11560 12112 12869 13872 15140 17340 18168 22710 23120 25738 30280 34680 36336 38607 45420 51476 60560 64345 69360 77214 90840 102952 128690 154428 181680 193035 205904 218773 257380 308856 386070 437546 514760 617712 656319 772140 875092 1029520 1093865 1312638 1544280 1750184 2187730 2625276 3088560 3281595 3500368 4375460 5250552 6563190 8750920 10501104 13126380 17501840 26252760 52505520