Search a number
-
+
5246802168 = 233379760913
BaseRepresentation
bin1001110001011101…
…11101100011111000
3111112122210011111020
410320232331203320
541221140132133
62224345102440
7244010040216
oct47056754370
914478704436
105246802168
112252757143
121025187a20
1365802188a
1437ab87cb6
1520a9580b3
hex138bbd8f8

5246802168 has 64 divisors (see below), whose sum is σ = 13610624160. Its totient is φ = 1684094976.

The previous prime is 5246802163. The next prime is 5246802179. The reversal of 5246802168 is 8612086425.

It is a super-3 number, since 3×52468021683 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246802161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55680 + ... + 116592.

Almost surely, 25246802168 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 5246802168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805312080).

5246802168 is an abundant number, since it is smaller than the sum of its proper divisors (8363821992).

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

5246802168 is a wasteful number, since it uses less digits than its factorization.

5246802168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61056 (or 61052 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 5246802168 is about 72434.8132323125. The cubic root of 5246802168 is about 1737.6603698429.

The spelling of 5246802168 in words is "five billion, two hundred forty-six million, eight hundred two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 97 111 148 194 222 291 296 388 444 582 776 888 1164 2328 3589 7178 10767 14356 21534 28712 43068 60913 86136 121826 182739 243652 365478 487304 730956 1461912 2253781 4507562 5908561 6761343 9015124 11817122 13522686 17725683 18030248 23634244 27045372 35451366 47268488 54090744 70902732 141805464 218616757 437233514 655850271 874467028 1311700542 1748934056 2623401084 5246802168