Search a number
-
+
52637256 = 23337311123
BaseRepresentation
bin1100100011001…
…0111001001000
310200001020202000
43020302321020
5101433343011
65120111000
71206260250
oct310627110
9120036660
1052637256
1127792171
1215765460
13ab9c909
146dc2960
15494b356
hex3232e48

52637256 has 128 divisors (see below), whose sum is σ = 172646400. Its totient is φ = 14541120.

The previous prime is 52637251. The next prime is 52637257. The reversal of 52637256 is 65273625.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52637256.

It is not an unprimeable number, because it can be changed into a prime (52637251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46311 + ... + 47433.

It is an arithmetic number, because the mean of its divisors is an integer number (1348800).

Almost surely, 252637256 is an apocalyptic number.

52637256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52637256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86323200).

52637256 is an abundant number, since it is smaller than the sum of its proper divisors (120009144).

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

52637256 is a wasteful number, since it uses less digits than its factorization.

52637256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1166 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 52637256 is about 7255.1537544011. The cubic root of 52637256 is about 374.7696505333.

The spelling of 52637256 in words is "fifty-two million, six hundred thirty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 504 558 651 744 756 837 868 1116 1123 1302 1512 1674 1736 1953 2232 2246 2604 3348 3369 3906 4492 5208 5859 6696 6738 7812 7861 8984 10107 11718 13476 15624 15722 20214 23436 23583 26952 30321 31444 34813 40428 46872 47166 60642 62888 69626 70749 80856 94332 104439 121284 139252 141498 188664 208878 212247 242568 243691 278504 282996 313317 417756 424494 487382 565992 626634 731073 835512 848988 939951 974764 1253268 1462146 1697976 1879902 1949528 2193219 2506536 2924292 3759804 4386438 5848584 6579657 7519608 8772876 13159314 17545752 26318628 52637256