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48401824275 = 3252743970003
BaseRepresentation
bin101101000100111110…
…010011101000010011
311121221012120102200100
4231010332103220103
51243111331334100
634122511023443
73332304501210
oct550476235023
9147835512610
1048401824275
1119588627a72
12946980ab83
13474492540c
1424b2392b07
1513d4406400
hexb44f93a13

48401824275 has 72 divisors (see below), whose sum is σ = 99304874240. Its totient is φ = 22075830720.

The previous prime is 48401824199. The next prime is 48401824279. The reversal of 48401824275 is 57242810484.

48401824275 is a `hidden beast` number, since 4 + 8 + 40 + 182 + 427 + 5 = 666.

48401824275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48401824275 - 28 = 48401824019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 48401824275.

It is not an unprimeable number, because it can be changed into a prime (48401824279) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 656424 + ... + 726426.

Almost surely, 248401824275 is an apocalyptic number.

48401824275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48401824275 is an abundant number, since it is smaller than the sum of its proper divisors (50903049965).

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

48401824275 is a wasteful number, since it uses less digits than its factorization.

48401824275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70465 (or 70457 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 48401824275 in words is "forty-eight billion, four hundred one million, eight hundred twenty-four thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 439 525 1317 1575 2195 3073 3951 6585 9219 10975 15365 19755 27657 32925 46095 70003 76825 98775 138285 210009 230475 350015 490021 630027 691425 1050045 1470063 1750075 2450105 3150135 4410189 5250225 7350315 12250525 15750675 22050945 30731317 36751575 92193951 110254725 153656585 215119219 276581853 460969755 645357657 768282925 1075596095 1382909265 1936072971 2304848775 3226788285 5377980475 6914546325 9680364855 16133941425 48401824275