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52028760 = 23357232693
BaseRepresentation
bin1100011001111…
…0010101011000
310121220100001010
43012132111120
5101304410020
65055053520
71201144230
oct306362530
9117810033
1052028760
1127406a83
12155112a0
13aa18964
146ca4cc0
15487ade0
hex319e558

52028760 has 128 divisors (see below), whose sum is σ = 186209280. Its totient is φ = 11371008.

The previous prime is 52028731. The next prime is 52028761. The reversal of 52028760 is 6782025.

52028760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52028761) 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 31 ways as a sum of consecutive naturals, for example, 17974 + ... + 20666.

It is an arithmetic number, because the mean of its divisors is an integer number (1454760).

Almost surely, 252028760 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 52028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93104640).

52028760 is an abundant number, since it is smaller than the sum of its proper divisors (134180520).

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

52028760 is a wasteful number, since it uses less digits than its factorization.

52028760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 52028760 is about 7213.0964224804. The cubic root of 52028760 is about 373.3199151923.

The spelling of 52028760 in words is "fifty-two million, twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2693 2760 3220 3864 4830 5386 6440 8079 9660 10772 13465 16158 18851 19320 21544 26930 32316 37702 40395 53860 56553 61939 64632 75404 80790 94255 107720 113106 123878 150808 161580 185817 188510 226212 247756 282765 309695 323160 371634 377020 433573 452424 495512 565530 619390 743268 754040 867146 929085 1131060 1238780 1300719 1486536 1734292 1858170 2167865 2262120 2477560 2601438 3468584 3716340 4335730 5202876 6503595 7432680 8671460 10405752 13007190 17342920 26014380 52028760