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5226536448 = 2933754011
BaseRepresentation
bin1001101111000011…
…01001111000000000
3111111020122120011000
410313201221320000
541200443131243
62222342452000
7243342553410
oct46741517000
914436576130
105226536448
112242275211
12101a434000
13653a77523
143781d0640
15208ca35d3
hex137869e00

5226536448 has 160 divisors (see below), whose sum is σ = 17681368320. Its totient is φ = 1493268480.

The previous prime is 5226536309. The next prime is 5226536449. The reversal of 5226536448 is 8446356225.

5226536448 is a `hidden beast` number, since 52 + 26 + 536 + 4 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5226536449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69763 + ... + 123773.

It is an arithmetic number, because the mean of its divisors is an integer number (110508552).

Almost surely, 25226536448 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 5226536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840684160).

5226536448 is an abundant number, since it is smaller than the sum of its proper divisors (12454831872).

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

5226536448 is an equidigital number, since it uses as much as digits as its factorization.

5226536448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54045 (or 54023 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 5226536448 is about 72294.7885258682. The cubic root of 5226536448 is about 1735.4202513837.

The spelling of 5226536448 in words is "five billion, two hundred twenty-six million, five hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 54011 96768 108022 162033 216044 324066 378077 432088 486099 648132 756154 864176 972198 1134231 1296264 1458297 1512308 1728352 1944396 2268462 2592528 2916594 3024616 3402693 3456704 3888792 4536924 5185056 5833188 6049232 6805386 6913408 7777584 9073848 10208079 10370112 11666376 12098464 13610772 13826816 15555168 18147696 20416158 20740224 23332752 24196928 27221544 27653632 31110336 36295392 40832316 41480448 46665504 48393856 54443088 62220672 72590784 81664632 82960896 93331008 96787712 108886176 124441344 145181568 163329264 186662016 193575424 217772352 248882688 290363136 326658528 373324032 435544704 580726272 653317056 746648064 871089408 1306634112 1742178816 2613268224 5226536448