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5050501400 = 2352731116371
BaseRepresentation
bin1001011010000100…
…01000100100011000
3111000222102001110102
410231002020210120
540320412021100
62153053434532
7236104360610
oct45502104430
914028361412
105050501400
1121619704aa
12b8b49ba48
13626461289
1435ca89a40
151e85cecd5
hex12d088918

5050501400 has 96 divisors (see below), whose sum is σ = 13852922880. Its totient is φ = 1675728000.

The previous prime is 5050501381. The next prime is 5050501429. The reversal of 5050501400 is 41050505.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14786 + ... + 101585.

It is an arithmetic number, because the mean of its divisors is an integer number (144301280).

Almost surely, 25050501400 is an apocalyptic number.

5050501400 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 5050501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926461440).

5050501400 is an abundant number, since it is smaller than the sum of its proper divisors (8802421480).

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

5050501400 is a wasteful number, since it uses less digits than its factorization.

5050501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116425 (or 116416 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 5050501400 is about 71066.8797682859. The cubic root of 5050501400 is about 1715.7137506275.

Adding to 5050501400 its reverse (41050505), we get a palindrome (5091551905).

The spelling of 5050501400 in words is "five billion, fifty million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 116371 232742 465484 581855 814597 930968 1163710 1629194 2327420 2909275 3258388 3607501 4072985 4654840 5818550 6516776 7215002 8145970 11637100 14430004 16291940 18037505 20364925 23274200 25252507 28860008 32583880 36075010 40729850 50505014 72150020 81459700 90187525 101010028 126262535 144300040 162919400 180375050 202020056 252525070 360750100 505050140 631312675 721500200 1010100280 1262625350 2525250700 5050501400