Search a number
-
+
5046030216 = 2333227102913
BaseRepresentation
bin1001011001100010…
…00100111110001000
3111000122222220011000
410230301010332020
540313240431331
62152413535000
7236021356233
oct45461047610
914018886130
105046030216
11215a397207
12b89aa4460
136255570c6
1435c24441a
151e7eea0e6
hex12cc44f88

5046030216 has 64 divisors (see below), whose sum is σ = 14078635200. Its totient is φ = 1674584064.

The previous prime is 5046030181. The next prime is 5046030217. The reversal of 5046030216 is 6120306405.

5046030216 is a `hidden beast` number, since 50 + 4 + 603 + 0 + 2 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5046030216.

It is not an unprimeable number, because it can be changed into a prime (5046030217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2425 + ... + 100488.

It is an arithmetic number, because the mean of its divisors is an integer number (219978675).

Almost surely, 25046030216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5046030216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039317600).

5046030216 is an abundant number, since it is smaller than the sum of its proper divisors (9032604984).

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

5046030216 is a wasteful number, since it uses less digits than its factorization.

5046030216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103155 (or 103145 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5046030216 is about 71035.4152236756. The cubic root of 5046030216 is about 1715.2072968350.

The spelling of 5046030216 in words is "five billion, forty-six million, thirty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 4086 5448 6129 8172 12258 16344 24516 49032 102913 205826 308739 411652 617478 823304 926217 1234956 1852434 2469912 2778651 3704868 5557302 7409736 11114604 22229208 23361251 46722502 70083753 93445004 140167506 186890008 210251259 280335012 420502518 560670024 630753777 841005036 1261507554 1682010072 2523015108 5046030216