Search a number
-
+
5093500 = 225361167
BaseRepresentation
bin10011011011100001111100
3100120202222011
4103123201330
52300443000
6301101004
761202566
oct23334174
910522864
105093500
112969905
121857764
131094509
14968336
156a92ba
hex4db87c

5093500 has 48 divisors (see below), whose sum is σ = 11374272. Its totient is φ = 1992000.

The previous prime is 5093467. The next prime is 5093503. The reversal of 5093500 is 53905.

It is a super-3 number, since 3×50935003 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30417 + ... + 30583.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 25093500 is an apocalyptic number.

5093500 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 5093500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

5093500 is an abundant number, since it is smaller than the sum of its proper divisors (6280772).

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

5093500 is a wasteful number, since it uses less digits than its factorization.

5093500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 5093500 is about 2256.8783751013. The cubic root of 5093500 is about 172.0569038330.

The spelling of 5093500 in words is "five million, ninety-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 167 244 250 305 334 500 610 668 835 1220 1525 1670 3050 3340 4175 6100 7625 8350 10187 15250 16700 20374 20875 30500 40748 41750 50935 83500 101870 203740 254675 509350 1018700 1273375 2546750 5093500