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5188939000 = 235374317239
BaseRepresentation
bin1001101010100100…
…01110110011111000
3111101121220102010221
410311102032303320
541111332022000
62214520545424
7242405153020
oct46522166370
914347812127
105188939000
112223025743
121009922274
1364904240b
14373204a80
1520582861a
hex13548ecf8

5188939000 has 128 divisors (see below), whose sum is σ = 14200243200. Its totient is φ = 1737590400.

The previous prime is 5188938959. The next prime is 5188939003. The reversal of 5188939000 is 9398815.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5188939003) 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 31 ways as a sum of consecutive naturals, for example, 292381 + ... + 309619.

It is an arithmetic number, because the mean of its divisors is an integer number (110939400).

Almost surely, 25188939000 is an apocalyptic number.

5188939000 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 5188939000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100121600).

5188939000 is an abundant number, since it is smaller than the sum of its proper divisors (9011304200).

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

5188939000 is a wasteful number, since it uses less digits than its factorization.

5188939000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17310 (or 17296 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 5188939000 is about 72034.2904455926. The cubic root of 5188939000 is about 1731.2489449876.

The spelling of 5188939000 in words is "five billion, one hundred eighty-eight million, nine hundred thirty-nine thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 43 50 56 70 86 100 125 140 172 175 200 215 250 280 301 344 350 430 500 602 700 860 875 1000 1075 1204 1400 1505 1720 1750 2150 2408 3010 3500 4300 5375 6020 7000 7525 8600 10750 12040 15050 17239 21500 30100 34478 37625 43000 60200 68956 75250 86195 120673 137912 150500 172390 241346 301000 344780 430975 482692 603365 689560 741277 861950 965384 1206730 1482554 1723900 2154875 2413460 2965108 3016825 3447800 3706385 4309750 4826920 5188939 5930216 6033650 7412770 8619500 10377878 12067300 14825540 15084125 17239000 18531925 20755756 24134600 25944695 29651080 30168250 37063850 41511512 51889390 60336500 74127700 92659625 103778780 120673000 129723475 148255400 185319250 207557560 259446950 370638500 518893900 648617375 741277000 1037787800 1297234750 2594469500 5188939000