Search a number
-
+
5331589500 = 223538939937
BaseRepresentation
bin1001111011100100…
…11001100101111100
3111202120022210211210
410331302121211330
541404341331000
62241014244420
7246056522466
oct47562314574
914676283753
105331589500
1122965a8116
121049656710
1366c769cb3
14388139136
15213105350
hex13dc9997c

5331589500 has 96 divisors (see below), whose sum is σ = 15700426560. Its totient is φ = 1405747200.

The previous prime is 5331589489. The next prime is 5331589507. The reversal of 5331589500 is 59851335.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5331589507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113532 + ... + 153468.

It is an arithmetic number, because the mean of its divisors is an integer number (163546110).

Almost surely, 25331589500 is an apocalyptic number.

5331589500 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 5331589500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850213280).

5331589500 is an abundant number, since it is smaller than the sum of its proper divisors (10368837060).

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

5331589500 is a wasteful number, since it uses less digits than its factorization.

5331589500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40048 (or 40036 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 5331589500 is about 73017.7341472604. The cubic root of 5331589500 is about 1746.9704863731.

The spelling of 5331589500 in words is "five billion, three hundred thirty-one million, five hundred eighty-nine thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 89 100 125 150 178 250 267 300 356 375 445 500 534 750 890 1068 1335 1500 1780 2225 2670 4450 5340 6675 8900 11125 13350 22250 26700 33375 39937 44500 66750 79874 119811 133500 159748 199685 239622 399370 479244 599055 798740 998425 1198110 1996850 2396220 2995275 3554393 3993700 4992125 5990550 7108786 9984250 10663179 11981100 14217572 14976375 17771965 19968500 21326358 29952750 35543930 42652716 53315895 59905500 71087860 88859825 106631790 177719650 213263580 266579475 355439300 444299125 533158950 888598250 1066317900 1332897375 1777196500 2665794750 5331589500