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52637130 = 23257136427
BaseRepresentation
bin1100100011001…
…0110111001010
310200001020120100
43020302313022
5101433342010
65120110230
71206260010
oct310626712
9120036510
1052637130
1127792067
1215765376
13ab9c840
146dc28b0
15494b2c0
hex3232dca

52637130 has 96 divisors (see below), whose sum is σ = 168465024. Its totient is φ = 11104128.

The previous prime is 52637111. The next prime is 52637131. The reversal of 52637130 is 3173625.

It is a happy number.

52637130 is a `hidden beast` number, since 526 + 3 + 7 + 130 = 666.

52637130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52637094 and 52637103.

It is not an unprimeable number, because it can be changed into a prime (52637131) 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 47 ways as a sum of consecutive naturals, for example, 4977 + ... + 11403.

It is an arithmetic number, because the mean of its divisors is an integer number (1754844).

Almost surely, 252637130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52637130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84232512).

52637130 is an abundant number, since it is smaller than the sum of its proper divisors (115827894).

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

52637130 is a wasteful number, since it uses less digits than its factorization.

52637130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6457 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 52637130 is about 7255.1450709135. The cubic root of 52637130 is about 374.7693514991.

The spelling of 52637130 in words is "fifty-two million, six hundred thirty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2730 4095 6427 8190 12854 19281 32135 38562 44989 57843 64270 83551 89978 96405 115686 134967 167102 192810 224945 250653 269934 289215 404901 417755 449890 501306 578430 584857 674835 751959 809802 835510 1169714 1253265 1349670 1503918 1754571 2024505 2506530 2924285 3509142 3759795 4049010 5263713 5848570 7519590 8772855 10527426 17545710 26318565 52637130