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5004433100 = 2252475918047
BaseRepresentation
bin1001010100100100…
…11001011011001100
3110220202201112122002
410222102121123030
540222113324400
62144330211432
7235004656652
oct45222313314
913822645562
105004433100
112138965727
12b77b83b78
13619a51624
143568d6dd2
151e452eed5
hex12a4996cc

5004433100 has 72 divisors (see below), whose sum is σ = 11279278080. Its totient is φ = 1925869120.

The previous prime is 5004433099. The next prime is 5004433103. The reversal of 5004433100 is 13344005.

It is a super-2 number, since 2×50044331002 = 50088701304751220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5004433103) 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, 268277 + ... + 286323.

It is an arithmetic number, because the mean of its divisors is an integer number (156656640).

Almost surely, 25004433100 is an apocalyptic number.

5004433100 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 5004433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639639040).

5004433100 is an abundant number, since it is smaller than the sum of its proper divisors (6274844980).

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

5004433100 is a wasteful number, since it uses less digits than its factorization.

5004433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18167 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 5004433100 is about 70742.0179242860. The cubic root of 5004433100 is about 1710.4811636855.

Adding to 5004433100 its reverse (13344005), we get a palindrome (5017777105).

The spelling of 5004433100 in words is "five billion, four million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 59 94 100 118 188 235 236 295 470 590 940 1175 1180 1475 2350 2773 2950 4700 5546 5900 11092 13865 18047 27730 36094 55460 69325 72188 90235 138650 180470 277300 360940 451175 848209 902350 1064773 1696418 1804700 2129546 3392836 4241045 4259092 5323865 8482090 10647730 16964180 21205225 21295460 26619325 42410450 50044331 53238650 84820900 100088662 106477300 200177324 250221655 500443310 1000886620 1251108275 2502216550 5004433100