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52105560 = 233513127263
BaseRepresentation
bin1100011011000…
…1000101011000
310122001020101120
43012301011120
5101314334220
65100445240
71201614153
oct306610530
9118036346
1052105560
1127459751
1215549820
13aa448c0
146cc4c9a
154893a40
hex31b1158

52105560 has 128 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 12676608.

The previous prime is 52105541. The next prime is 52105589. The reversal of 52105560 is 6550125.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52105560.

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, 197989 + ... + 198251.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 252105560 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 52105560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

52105560 is an abundant number, since it is smaller than the sum of its proper divisors (118206120).

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

52105560 is a wasteful number, since it uses less digits than its factorization.

52105560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 52105560 is about 7218.4181092536. The cubic root of 52105560 is about 373.5035115591.

Adding to 52105560 its reverse (6550125), we get a palindrome (58655685).

The spelling of 52105560 in words is "fifty-two million, one hundred five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 195 254 260 263 312 381 390 508 520 526 635 762 780 789 1016 1052 1270 1315 1524 1560 1578 1651 1905 2104 2540 2630 3048 3156 3302 3419 3810 3945 4953 5080 5260 6312 6604 6838 7620 7890 8255 9906 10257 10520 13208 13676 15240 15780 16510 17095 19812 20514 24765 27352 31560 33020 33401 34190 39624 41028 49530 51285 66040 66802 68380 82056 99060 100203 102570 133604 136760 167005 198120 200406 205140 267208 334010 400812 410280 434213 501015 668020 801624 868426 1002030 1302639 1336040 1736852 2004060 2171065 2605278 3473704 4008120 4342130 5210556 6513195 8684260 10421112 13026390 17368520 26052780 52105560