Search a number
-
+
5218854100 = 2252234352769
BaseRepresentation
bin1001101110001000…
…10110010011010100
3111110201012020221121
410313010112103110
541142011312400
62221510053324
7243220346035
oct46704262324
914421166847
105218854100
1122389a8369
12101794a244
136522b7865
14377190a8c
1520828721a
hex1371164d4

5218854100 has 72 divisors (see below), whose sum is σ = 12092351040. Its totient is φ = 1950305280.

The previous prime is 5218854097. The next prime is 5218854101. The reversal of 5218854100 is 14588125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218854101) 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, 72516 + ... + 125284.

It is an arithmetic number, because the mean of its divisors is an integer number (167949320).

Almost surely, 25218854100 is an apocalyptic number.

5218854100 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 5218854100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046175520).

5218854100 is an abundant number, since it is smaller than the sum of its proper divisors (6873496940).

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

5218854100 is a wasteful number, since it uses less digits than its factorization.

5218854100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52849 (or 52842 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 5218854100 is about 72241.6368862168. The cubic root of 5218854100 is about 1734.5695516301.

The spelling of 5218854100 in words is "five billion, two hundred eighteen million, eight hundred fifty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 43 46 50 86 92 100 115 172 215 230 430 460 575 860 989 1075 1150 1978 2150 2300 3956 4300 4945 9890 19780 24725 49450 52769 98900 105538 211076 263845 527690 1055380 1213687 1319225 2269067 2427374 2638450 4538134 4854748 5276900 6068435 9076268 11345335 12136870 22690670 24273740 30342175 45381340 52188541 56726675 60684350 104377082 113453350 121368700 208754164 226906700 260942705 521885410 1043770820 1304713525 2609427050 5218854100