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5349833500 = 225311288427
BaseRepresentation
bin1001111101101111…
…11111101100011100
3111210211122200220111
410332313333230130
541424024133000
62242505255404
7246400556134
oct47667775434
914724580814
105349833500
1122a5929100
121053794564
1367348706b
1438a727ac4
15214a0acba
hex13edffb1c

5349833500 has 72 divisors (see below), whose sum is σ = 12842929008. Its totient is φ = 1945372000.

The previous prime is 5349833491. The next prime is 5349833537. The reversal of 5349833500 is 53389435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16287 + ... + 104713.

It is an arithmetic number, because the mean of its divisors is an integer number (178374014).

Almost surely, 25349833500 is an apocalyptic number.

5349833500 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 5349833500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421464504).

5349833500 is an abundant number, since it is smaller than the sum of its proper divisors (7493095508).

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

5349833500 is a wasteful number, since it uses less digits than its factorization.

5349833500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88468 (or 88445 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The square root of 5349833500 is about 73142.5560122149. The cubic root of 5349833500 is about 1748.9608524655.

The spelling of 5349833500 in words is "five billion, three hundred forty-nine million, eight hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 125 220 242 250 275 484 500 550 605 1100 1210 1375 2420 2750 3025 5500 6050 12100 15125 30250 60500 88427 176854 353708 442135 884270 972697 1768540 1945394 2210675 3890788 4421350 4863485 8842700 9726970 10699667 11053375 19453940 21399334 22106750 24317425 42798668 44213500 48634850 53498335 97269700 106996670 121587125 213993340 243174250 267491675 486348500 534983350 1069966700 1337458375 2674916750 5349833500