Search a number
-
+
4809805536 = 253478271289
BaseRepresentation
bin1000111101010111…
…11100111011100000
3110102012111102210210
410132223330323200
534322302234121
62113134454120
7230122446444
oct43653747340
913365442723
104809805536
1120490120a8
12b22964340
135b86287a3
14338b12824
151d23d7876
hex11eafcee0

4809805536 has 96 divisors (see below), whose sum is σ = 12919979520. Its totient is φ = 1566043136.

The previous prime is 4809805519. The next prime is 4809805573. The reversal of 4809805536 is 6355089084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×48098055363 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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, 3730780 + ... + 3732068.

It is an arithmetic number, because the mean of its divisors is an integer number (134583120).

Almost surely, 24809805536 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 4809805536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459989760).

4809805536 is an abundant number, since it is smaller than the sum of its proper divisors (8110173984).

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

4809805536 is a wasteful number, since it uses less digits than its factorization.

4809805536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 4809805536 is about 69352.7615600129. The cubic root of 4809805536 is about 1688.0132034037.

The spelling of 4809805536 in words is "four billion, eight hundred nine million, eight hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 827 1128 1289 1504 1654 2256 2481 2578 3308 3867 4512 4962 5156 6616 7734 9924 10312 13232 15468 19848 20624 26464 30936 38869 39696 41248 60583 61872 77738 79392 116607 121166 123744 155476 181749 233214 242332 310952 363498 466428 484664 621904 726996 932856 969328 1066003 1243808 1453992 1865712 1938656 2132006 2907984 3198009 3731424 4264012 5815968 6396018 8528024 12792036 17056048 25584072 34112096 50102141 51168144 100204282 102336288 150306423 200408564 300612846 400817128 601225692 801634256 1202451384 1603268512 2404902768 4809805536