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52509870 = 237574
BaseRepresentation
bin1100100001001…
…1110010101110
310122210210000000
43020103302232
5101420303440
65113245130
71205220000
oct310236256
9118723000
1052509870
1127705496
12157037a6
13ab5693a
146d8c370
154923730
hex3213cae

52509870 has 160 divisors (see below), whose sum is σ = 165371040. Its totient is φ = 12002256.

The previous prime is 52509859. The next prime is 52509871. The reversal of 52509870 is 7890525.

52509870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52509871) 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 79 ways as a sum of consecutive naturals, for example, 7501407 + ... + 7501413.

It is an arithmetic number, because the mean of its divisors is an integer number (1033569).

Almost surely, 252509870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52509870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82685520).

52509870 is an abundant number, since it is smaller than the sum of its proper divisors (112861170).

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

52509870 is an frugal number, since it uses more digits than its factorization.

52509870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 52509870 is about 7246.3694357933. The cubic root of 52509870 is about 374.4670830241.

The spelling of 52509870 in words is "fifty-two million, five hundred nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 243 245 270 294 315 343 378 405 441 486 490 567 630 686 729 735 810 882 945 1029 1134 1215 1323 1458 1470 1701 1715 1890 2058 2187 2205 2401 2430 2646 2835 3087 3402 3430 3645 3969 4374 4410 4802 5103 5145 5670 6174 6615 7203 7290 7938 8505 9261 10206 10290 10935 11907 12005 13230 14406 15309 15435 17010 18522 19845 21609 21870 23814 24010 25515 27783 30618 30870 35721 36015 39690 43218 46305 51030 55566 59535 64827 71442 72030 76545 83349 92610 107163 108045 119070 129654 138915 153090 166698 178605 194481 214326 216090 250047 277830 324135 357210 388962 416745 500094 535815 583443 648270 750141 833490 972405 1071630 1166886 1250235 1500282 1750329 1944810 2500470 2917215 3500658 3750705 5250987 5834430 7501410 8751645 10501974 17503290 26254935 52509870