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52339680 = 25325191913
BaseRepresentation
bin1100011110101…
…0001111100000
310122111010112200
43013222033200
5101344332210
65105453200
71203610551
oct307521740
9118433480
1052339680
11275a9638
1215641200
13aac7333
146d46328
1548dd0c0
hex31ea3e0

52339680 has 144 divisors (see below), whose sum is σ = 188107920. Its totient is φ = 13215744.

The previous prime is 52339649. The next prime is 52339681. The reversal of 52339680 is 8693325.

52339680 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 (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52339681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26404 + ... + 28316.

It is an arithmetic number, because the mean of its divisors is an integer number (1306305).

Almost surely, 252339680 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 52339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94053960).

52339680 is an abundant number, since it is smaller than the sum of its proper divisors (135768240).

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

52339680 is a wasteful number, since it uses less digits than its factorization.

52339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 52339680 is about 7234.6167832166. The cubic root of 52339680 is about 374.0620827859.

The spelling of 52339680 in words is "fifty-two million, three hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 1913 2280 2736 3040 3420 3826 4560 5472 5739 6840 7652 9120 9565 11478 13680 15304 17217 19130 22956 27360 28695 30608 34434 36347 38260 45912 57390 61216 68868 72694 76520 86085 91824 109041 114780 137736 145388 153040 172170 181735 183648 218082 229560 275472 290776 306080 327123 344340 363470 436164 459120 545205 550944 581552 654246 688680 726940 872328 918240 1090410 1163104 1308492 1377360 1453880 1635615 1744656 2180820 2616984 2754720 2907760 3271230 3489312 4361640 5233968 5815520 6542460 8723280 10467936 13084920 17446560 26169840 52339680