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5040334300 = 2252791016317
BaseRepresentation
bin1001011000110110…
…10110010111011100
3111000021021111211011
410230123112113130
540310311144200
62152051505004
7235622064121
oct45433262734
914007244734
105040334300
112157156841
12b87bb8164
13624311641
1435b5a0748
151e77725ba
hex12c6d65dc

5040334300 has 72 divisors (see below), whose sum is σ = 11187408960. Its totient is φ = 1970592000.

The previous prime is 5040334297. The next prime is 5040334309. The reversal of 5040334300 is 34330405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040334309) 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, 794742 + ... + 801058.

It is an arithmetic number, because the mean of its divisors is an integer number (155380680).

Almost surely, 25040334300 is an apocalyptic number.

5040334300 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 5040334300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593704480).

5040334300 is an abundant number, since it is smaller than the sum of its proper divisors (6147074660).

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

5040334300 is a wasteful number, since it uses less digits than its factorization.

5040334300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6511 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 5040334300 is about 70995.3118170489. The cubic root of 5040334300 is about 1714.5616833824.

Adding to 5040334300 its reverse (34330405), we get a palindrome (5074664705).

The spelling of 5040334300 in words is "five billion, forty million, three hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 101 158 202 316 395 404 505 790 1010 1580 1975 2020 2525 3950 5050 6317 7900 7979 10100 12634 15958 25268 31585 31916 39895 63170 79790 126340 157925 159580 199475 315850 398950 499043 631700 638017 797900 998086 1276034 1996172 2495215 2552068 3190085 4990430 6380170 9980860 12476075 12760340 15950425 24952150 31900850 49904300 50403343 63801700 100806686 201613372 252016715 504033430 1008066860 1260083575 2520167150 5040334300