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5124383200 = 255237916901
BaseRepresentation
bin1001100010110111…
…11110000111100000
3111020010102122020101
410301123332013200
540443320230300
62204253152144
7240662352466
oct46133760740
914203378211
105124383200
11219a642a42
12bb018b654
1363885b911
143687dc836
151eed25b6a
hex1316fe1e0

5124383200 has 72 divisors (see below), whose sum is σ = 12543650280. Its totient is φ = 2044224000.

The previous prime is 5124383197. The next prime is 5124383203. The reversal of 5124383200 is 23834215.

It is an interprime number because it is at equal distance from previous prime (5124383197) and next prime (5124383203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5124383203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 294750 + ... + 311650.

It is an arithmetic number, because the mean of its divisors is an integer number (174217365).

Almost surely, 25124383200 is an apocalyptic number.

5124383200 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 5124383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6271825140).

5124383200 is an abundant number, since it is smaller than the sum of its proper divisors (7419267080).

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

5124383200 is a wasteful number, since it uses less digits than its factorization.

5124383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17300 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5124383200 is about 71584.7972686939. The cubic root of 5124383200 is about 1724.0394512248.

The spelling of 5124383200 in words is "five billion, one hundred twenty-four million, three hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 379 400 758 800 1516 1895 3032 3790 6064 7580 9475 12128 15160 16901 18950 30320 33802 37900 60640 67604 75800 84505 135208 151600 169010 270416 303200 338020 422525 540832 676040 845050 1352080 1690100 2704160 3380200 6405479 6760400 12810958 13520800 25621916 32027395 51243832 64054790 102487664 128109580 160136975 204975328 256219160 320273950 512438320 640547900 1024876640 1281095800 2562191600 5124383200