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5188448300 = 2252723134157
BaseRepresentation
bin1001101010100000…
…10111000000101100
3111101120222111000212
410311100113000230
541111220321200
62214502241552
7242401040300
oct46520270054
914346874025
105188448300
112222820002
1210097262b8
13648bccc69
14373117d00
1520577d035
hex13541702c

5188448300 has 108 divisors (see below), whose sum is σ = 13520009664. Its totient is φ = 1721462400.

The previous prime is 5188448233. The next prime is 5188448323. The reversal of 5188448300 is 38448815.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 134822 + ... + 168978.

Almost surely, 25188448300 is an apocalyptic number.

5188448300 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 5188448300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760004832).

5188448300 is an abundant number, since it is smaller than the sum of its proper divisors (8331561364).

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

5188448300 is a wasteful number, since it uses less digits than its factorization.

5188448300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34216 (or 34202 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 5188448300 is about 72030.8843483127. The cubic root of 5188448300 is about 1731.1943705272.

The spelling of 5188448300 in words is "five billion, one hundred eighty-eight million, four hundred forty-eight thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 49 50 62 70 98 100 124 140 155 175 196 217 245 310 350 434 490 620 700 775 868 980 1085 1225 1519 1550 2170 2450 3038 3100 4340 4900 5425 6076 7595 10850 15190 21700 30380 34157 37975 68314 75950 136628 151900 170785 239099 341570 478198 683140 853925 956396 1058867 1195495 1673693 1707850 2117734 2390990 3347386 3415700 4235468 4781980 5294335 5977475 6694772 7412069 8368465 10588670 11954950 14824138 16736930 21177340 23909900 26471675 29648276 33473860 37060345 41842325 51884483 52943350 74120690 83684650 103768966 105886700 148241380 167369300 185301725 207537932 259422415 370603450 518844830 741206900 1037689660 1297112075 2594224150 5188448300