Search a number
-
+
52685040 = 24351737349
BaseRepresentation
bin1100100011111…
…0100011110000
310200010200021210
43020332203300
5101441410130
65121120120
71206546462
oct310764360
9120120253
1052685040
1127815061
1215789040
13abb85a5
146dd6132
15495a5b0
hex323e8f0

52685040 has 160 divisors (see below), whose sum is σ = 178113600. Its totient is φ = 12828672.

The previous prime is 52685033. The next prime is 52685069. The reversal of 52685040 is 4058625.

52685040 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 junction number, because it is equal to n+sod(n) for n = 52684989 and 52685007.

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 31 ways as a sum of consecutive naturals, for example, 150786 + ... + 151134.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 252685040 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 52685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

52685040 is an abundant number, since it is smaller than the sum of its proper divisors (125428560).

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

52685040 is a wasteful number, since it uses less digits than its factorization.

52685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52685040 is about 7258.4461146998. The cubic root of 52685040 is about 374.8830212909.

The spelling of 52685040 in words is "fifty-two million, six hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 349 370 408 444 510 555 592 629 680 698 740 816 888 1020 1047 1110 1258 1360 1396 1480 1745 1776 1887 2040 2094 2220 2516 2792 2960 3145 3490 3774 4080 4188 4440 5032 5235 5584 5933 6290 6980 7548 8376 8880 9435 10064 10470 11866 12580 12913 13960 15096 16752 17799 18870 20940 23732 25160 25826 27920 29665 30192 35598 37740 38739 41880 47464 50320 51652 59330 64565 71196 75480 77478 83760 88995 94928 103304 118660 129130 142392 150960 154956 177990 193695 206608 219521 237320 258260 284784 309912 355980 387390 439042 474640 516520 619824 658563 711960 774780 878084 1033040 1097605 1317126 1423920 1549560 1756168 2195210 2634252 3099120 3292815 3512336 4390420 5268504 6585630 8780840 10537008 13171260 17561680 26342520 52685040