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52327100 = 22527259181
BaseRepresentation
bin1100011110011…
…1001010111100
310122110111021202
43013213022330
5101343431400
65105315032
71203526100
oct307471274
9118414252
1052327100
11275a0141
1215635a78
13aac16a7
146d41900
1548d94d5
hex31e72bc

52327100 has 108 divisors (see below), whose sum is σ = 135069480. Its totient is φ = 17539200.

The previous prime is 52327097. The next prime is 52327103. The reversal of 52327100 is 172325.

It is an interprime number because it is at equal distance from previous prime (52327097) and next prime (52327103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52327103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289010 + ... + 289190.

Almost surely, 252327100 is an apocalyptic number.

52327100 is a gapful number since it is divisible by the number (50) 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 52327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

52327100 is an abundant number, since it is smaller than the sum of its proper divisors (82742380).

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

52327100 is a wasteful number, since it uses less digits than its factorization.

52327100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 52327100 is about 7233.7472999822. The cubic root of 52327100 is about 374.0321114011.

Adding to 52327100 its reverse (172325), we get a palindrome (52499425).

The spelling of 52327100 in words is "fifty-two million, three hundred twenty-seven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 59 70 98 100 118 140 175 181 196 236 245 295 350 362 413 490 590 700 724 826 905 980 1180 1225 1267 1475 1652 1810 2065 2450 2534 2891 2950 3620 4130 4525 4900 5068 5782 5900 6335 8260 8869 9050 10325 10679 11564 12670 14455 17738 18100 20650 21358 25340 28910 31675 35476 41300 42716 44345 53395 57820 63350 72275 74753 88690 106790 126700 144550 149506 177380 213580 221725 266975 289100 299012 373765 443450 523271 533950 747530 886900 1046542 1067900 1495060 1868825 2093084 2616355 3737650 5232710 7475300 10465420 13081775 26163550 52327100