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52018080 = 2535307353
BaseRepresentation
bin1100011001101…
…1101110100000
310121212210101120
43012123232200
5101304034310
65054532240
71201101132
oct306335640
9117783346
1052018080
11273a9a54
1215507080
13aa13b3a
146ca1052
154877b70
hex319bba0

52018080 has 96 divisors (see below), whose sum is σ = 164856384. Its totient is φ = 13787136.

The previous prime is 52018073. The next prime is 52018123. The reversal of 52018080 is 8081025.

52018080 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 (96).

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 52018080.

It is an unprimeable number.

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, 147184 + ... + 147536.

It is an arithmetic number, because the mean of its divisors is an integer number (1717254).

Almost surely, 252018080 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 52018080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82428192).

52018080 is an abundant number, since it is smaller than the sum of its proper divisors (112838304).

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

52018080 is a wasteful number, since it uses less digits than its factorization.

52018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 52018080 is about 7212.3560644217. The cubic root of 52018080 is about 373.2943695164.

The spelling of 52018080 in words is "fifty-two million, eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 353 480 614 706 921 1059 1228 1412 1535 1765 1842 2118 2456 2824 3070 3530 3684 4236 4605 4912 5295 5648 6140 7060 7368 8472 9210 9824 10590 11296 12280 14120 14736 16944 18420 21180 24560 28240 29472 33888 36840 42360 49120 56480 73680 84720 108371 147360 169440 216742 325113 433484 541855 650226 866968 1083710 1300452 1625565 1733936 2167420 2600904 3251130 3467872 4334840 5201808 6502260 8669680 10403616 13004520 17339360 26009040 52018080