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5008302576 = 243417921589
BaseRepresentation
bin1001010101000010…
…01010000111110000
3110221001000010120000
410222201022013300
540224111140301
62144545150000
7235052604144
oct45241120760
913831003500
105008302576
112140068942
12b7932b300
1361a7a7964
14357223224
151e4a46786
hex12a84a1f0

5008302576 has 100 divisors (see below), whose sum is σ = 14577136200. Its totient is φ = 1660030848.

The previous prime is 5008302553. The next prime is 5008302641. The reversal of 5008302576 is 6752038005.

5008302576 is a `hidden beast` number, since 5 + 0 + 0 + 83 + 0 + 2 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5008302576.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 221190 + ... + 242778.

It is an arithmetic number, because the mean of its divisors is an integer number (145771362).

Almost surely, 25008302576 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 5008302576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288568100).

5008302576 is an abundant number, since it is smaller than the sum of its proper divisors (9568833624).

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

5008302576 is a wasteful number, since it uses less digits than its factorization.

5008302576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21788 (or 21773 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5008302576 is about 70769.3618453636. The cubic root of 5008302576 is about 1710.9219036281.

The spelling of 5008302576 in words is "five billion, eight million, three hundred two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 179 216 324 358 432 537 648 716 1074 1296 1432 1611 2148 2864 3222 4296 4833 6444 8592 9666 12888 14499 19332 21589 25776 28998 38664 43178 57996 64767 77328 86356 115992 129534 172712 194301 231984 259068 345424 388602 518136 582903 777204 1036272 1165806 1554408 1748709 2331612 3108816 3497418 3864431 4663224 6994836 7728862 9326448 11593293 13989672 15457724 23186586 27979344 30915448 34779879 46373172 61830896 69559758 92746344 104339637 139119516 185492688 208679274 278239032 313018911 417358548 556478064 626037822 834717096 1252075644 1669434192 2504151288 5008302576