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53008760 = 2357312197
BaseRepresentation
bin1100101000110…
…1100101111000
310200202010100102
43022031211320
5102032240020
65132054532
71212365330
oct312154570
9120663312
1053008760
1127a162a2
1215904448
13ac9ca3c
14707c0c0
1549c1475
hex328d978

53008760 has 96 divisors (see below), whose sum is σ = 141562080. Its totient is φ = 17498880.

The previous prime is 53008759. The next prime is 53008783. The reversal of 53008760 is 6780035.

53008760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 268982 + ... + 269178.

It is an arithmetic number, because the mean of its divisors is an integer number (1474605).

Almost surely, 253008760 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 53008760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70781040).

53008760 is an abundant number, since it is smaller than the sum of its proper divisors (88553320).

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

53008760 is a wasteful number, since it uses less digits than its factorization.

53008760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 53008760 is about 7280.7115036925. The cubic root of 53008760 is about 375.6492692903.

Adding to 53008760 its reverse (6780035), we get a palindrome (59788795).

The spelling of 53008760 in words is "fifty-three million, eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 197 217 248 280 310 394 434 620 788 868 961 985 1085 1240 1379 1576 1736 1922 1970 2170 2758 3844 3940 4340 4805 5516 6107 6727 6895 7688 7880 8680 9610 11032 12214 13454 13790 19220 24428 26908 27580 30535 33635 38440 42749 48856 53816 55160 61070 67270 85498 122140 134540 170996 189317 213745 244280 269080 341992 378634 427490 757268 854980 946585 1325219 1514536 1709960 1893170 2650438 3786340 5300876 6626095 7572680 10601752 13252190 26504380 53008760