Search a number
-
+
5003471000 = 235311241351
BaseRepresentation
bin1001010100011101…
…01110100010011000
3110220200220122212202
410222032232202120
540221342033000
62144253425332
7234663542003
oct45216564230
913820818782
105003471000
112138368900
12b7779b248
136197a5738
1435672653a
151e43dedd5
hex12a3ae898

5003471000 has 96 divisors (see below), whose sum is σ = 12869569440. Its totient is φ = 1819400000.

The previous prime is 5003470999. The next prime is 5003471009. The reversal of 5003471000 is 1743005.

It is a happy number.

It is a super-3 number, since 3×50034710003 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003471009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100325 + ... + 141675.

It is an arithmetic number, because the mean of its divisors is an integer number (134058015).

Almost surely, 25003471000 is an apocalyptic number.

5003471000 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 5003471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434784720).

5003471000 is an abundant number, since it is smaller than the sum of its proper divisors (7866098440).

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

5003471000 is a wasteful number, since it uses less digits than its factorization.

5003471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41394 (or 41369 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 5003471000 is about 70735.2175369526. The cubic root of 5003471000 is about 1710.3715435838.

The spelling of 5003471000 in words is "five billion, three million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 41351 60500 82702 121000 165404 206755 330808 413510 454861 827020 909722 1033775 1654040 1819444 2067550 2274305 3638888 4135100 4548610 5003471 5168875 8270200 9097220 10006942 10337750 11371525 18194440 20013884 20675500 22743050 25017355 40027768 41351000 45486100 50034710 56857625 90972200 100069420 113715250 125086775 200138840 227430500 250173550 454861000 500347100 625433875 1000694200 1250867750 2501735500 5003471000