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5086282446 = 232773607911
BaseRepresentation
bin1001011110010101…
…01000001011001110
3111010110201220211100
410233022220023032
540404042014241
62200412403530
7240020454540
oct45712501316
914113656740
105086282446
11218008a313
12b9b4765a6
136309ab6ab
14363721690
151eb7eb9b6
hex12f2a82ce

5086282446 has 96 divisors (see below), whose sum is σ = 12802203648. Its totient is φ = 1429384320.

The previous prime is 5086282423. The next prime is 5086282447. The reversal of 5086282446 is 6442826805.

5086282446 is a `hidden beast` number, since 50 + 86 + 2 + 82 + 446 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5086282447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5582731 + ... + 5583641.

It is an arithmetic number, because the mean of its divisors is an integer number (133356288).

Almost surely, 25086282446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5086282446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401101824).

5086282446 is an abundant number, since it is smaller than the sum of its proper divisors (7715921202).

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

5086282446 is a wasteful number, since it uses less digits than its factorization.

5086282446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5086282446 is about 71318.1775285936. The cubic root of 5086282446 is about 1719.7559647918.

The spelling of 5086282446 in words is "five billion, eighty-six million, two hundred eighty-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 607 657 911 1022 1214 1314 1533 1821 1822 2733 3066 3642 4249 4599 5463 5466 6377 8199 8498 9198 10926 12747 12754 16398 19131 25494 38241 38262 44311 57393 66503 76482 88622 114786 132933 133006 199509 265866 310177 398799 399018 465521 552977 598527 620354 797598 930531 931042 1105954 1197054 1396563 1658931 1861062 2791593 2793126 3317862 3870839 4189689 4976793 5583186 7741678 8379378 9953586 11612517 23225034 34837551 40367321 69675102 80734642 121101963 242203926 282571247 363305889 565142494 726611778 847713741 1695427482 2543141223 5086282446