Search a number
-
+
5286434112 = 263322713477
BaseRepresentation
bin1001110110001100…
…01001010101000000
3111122102100200022000
410323012021111000
541311311342422
62232322344000
7245000643231
oct47306112500
914572320260
105286434112
112273066213
1210364bb000
136632b9a2b
14382143088
1520e185cac
hex13b189540

5286434112 has 112 divisors (see below), whose sum is σ = 15610758720. Its totient is φ = 1754251776.

The previous prime is 5286434107. The next prime is 5286434113. The reversal of 5286434112 is 2114346825.

It is a happy number.

5286434112 is a `hidden beast` number, since 5 + 2 + 8 + 643 + 4 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5286434113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385518 + ... + 398994.

Almost surely, 25286434112 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 5286434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805379360).

5286434112 is an abundant number, since it is smaller than the sum of its proper divisors (10324324608).

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

5286434112 is a wasteful number, since it uses less digits than its factorization.

5286434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13709 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5286434112 is about 72707.8682949789. The cubic root of 5286434112 is about 1742.0245637536.

The spelling of 5286434112 in words is "five billion, two hundred eighty-six million, four hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 227 288 432 454 576 681 864 908 1362 1728 1816 2043 2724 3632 4086 5448 6129 7264 8172 10896 12258 13477 14528 16344 21792 24516 26954 32688 40431 43584 49032 53908 65376 80862 98064 107816 121293 130752 161724 196128 215632 242586 323448 363879 392256 431264 485172 646896 727758 862528 970344 1293792 1455516 1940688 2587584 2911032 3059279 3881376 5822064 6118558 7762752 9177837 11644128 12237116 18355674 23288256 24474232 27533511 36711348 48948464 55067022 73422696 82600533 97896928 110134044 146845392 165201066 195793856 220268088 293690784 330402132 440536176 587381568 660804264 881072352 1321608528 1762144704 2643217056 5286434112