Search a number
-
+
52400051100 = 223252449129671
BaseRepresentation
bin110000110011010010…
…010101001110011100
312000020211221101210100
4300303102111032130
51324303403113400
640023334541100
73533344041165
oct606322251634
9160224841710
1052400051100
112024a50aa61
12a1a4807790
134c310759c7
1427713a476c
15156a42b100
hexc3349539c

52400051100 has 108 divisors (see below), whose sum is σ = 164612120400. Its totient is φ = 13942118400.

The previous prime is 52400051069. The next prime is 52400051117. The reversal of 52400051100 is 115000425.

It is a super-2 number, since 2×524000511002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339265 + ... + 468935.

It is an arithmetic number, because the mean of its divisors is an integer number (1524186300).

Almost surely, 252400051100 is an apocalyptic number.

52400051100 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 52400051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82306060200).

52400051100 is an abundant number, since it is smaller than the sum of its proper divisors (112212069300).

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

52400051100 is a wasteful number, since it uses less digits than its factorization.

52400051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130140 (or 130130 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 52400051100 its reverse (115000425), we get a palindrome (52515051525).

The spelling of 52400051100 in words is "fifty-two billion, four hundred million, fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 449 450 898 900 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 11225 13470 16164 20205 22450 26940 33675 40410 44900 67350 80820 101025 129671 134700 202050 259342 389013 404100 518684 648355 778026 1167039 1296710 1556052 1945065 2334078 2593420 3241775 3890130 4668156 5835195 6483550 7780260 9725325 11670390 12967100 19450650 23340780 29175975 38901300 58222279 58351950 116444558 116703900 174666837 232889116 291111395 349333674 524000511 582222790 698667348 873334185 1048001022 1164445580 1455556975 1746668370 2096002044 2620002555 2911113950 3493336740 4366670925 5240005110 5822227900 8733341850 10480010220 13100012775 17466683700 26200025550 52400051100