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52160080 = 2457175479
BaseRepresentation
bin1100011011111…
…0011001010000
310122011000011211
43012332121100
5101323110310
65101545504
71202232130
oct306763120
9118130154
1052160080
1127496705
1215575294
13aa6366b
146cdaac0
1548a4c8a
hex31be650

52160080 has 80 divisors (see below), whose sum is σ = 146776320. Its totient is φ = 16828416.

The previous prime is 52160041. The next prime is 52160107. The reversal of 52160080 is 8006125.

It is a happy number.

52160080 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 (80).

It is a congruent number.

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, 6781 + ... + 12259.

It is an arithmetic number, because the mean of its divisors is an integer number (1834704).

Almost surely, 252160080 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 52160080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73388160).

52160080 is an abundant number, since it is smaller than the sum of its proper divisors (94616240).

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

52160080 is a wasteful number, since it uses less digits than its factorization.

52160080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 52160080 is about 7222.1935725927. The cubic root of 52160080 is about 373.6337363901.

The spelling of 52160080 in words is "fifty-two million, one hundred sixty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 5479 9520 10958 21916 27395 38353 43832 54790 76706 87664 93143 109580 153412 186286 191765 219160 306824 372572 383530 438320 465715 613648 652001 745144 767060 931430 1304002 1490288 1534120 1862860 2608004 3068240 3260005 3725720 5216008 6520010 7451440 10432016 13040020 26080040 52160080