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5083000 = 2353131723
BaseRepresentation
bin10011011000111101111000
3100120020120021
4103120331320
52300124000
6300540224
761130146
oct23307570
910506507
105083000
112961a2a
121851674
13108c7c0
14964596
156a611a
hex4d8f78

5083000 has 128 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1689600.

The previous prime is 5082991. The next prime is 5083019. The reversal of 5083000 is 3805.

5083000 = T436 + T437 + ... + T483.

It is an Ulam number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 220989 + ... + 221011.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 25083000 is an apocalyptic number.

5083000 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 5083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5083000 is an abundant number, since it is smaller than the sum of its proper divisors (9069320).

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

5083000 is a wasteful number, since it uses less digits than its factorization.

5083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5083000 is about 2254.5509530725. The cubic root of 5083000 is about 171.9385935475.

Adding to 5083000 its reverse (3805), we get a palindrome (5086805).

The spelling of 5083000 in words is "five million, eighty-three thousand".

Divisors: 1 2 4 5 8 10 13 17 20 23 25 26 34 40 46 50 52 65 68 85 92 100 104 115 125 130 136 170 184 200 221 230 250 260 299 325 340 391 425 442 460 500 520 575 598 650 680 782 850 884 920 1000 1105 1150 1196 1300 1495 1564 1625 1700 1768 1955 2125 2210 2300 2392 2600 2875 2990 3128 3250 3400 3910 4250 4420 4600 5083 5525 5750 5980 6500 7475 7820 8500 8840 9775 10166 11050 11500 11960 13000 14950 15640 17000 19550 20332 22100 23000 25415 27625 29900 37375 39100 40664 44200 48875 50830 55250 59800 74750 78200 97750 101660 110500 127075 149500 195500 203320 221000 254150 299000 391000 508300 635375 1016600 1270750 2541500 5083000