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5288375808 = 29323137021
BaseRepresentation
bin1001110110011011…
…00011011000000000
3111122120000022210200
410323031203120000
541312311011213
62232432125200
7245023311162
oct47315433000
914576008720
105288375808
112274172021
121037096800
13663819771
143824ca932
1520e41b273
hex13b363600

5288375808 has 120 divisors (see below), whose sum is σ = 15755378496. Its totient is φ = 1705881600.

The previous prime is 5288375801. The next prime is 5288375819. The reversal of 5288375808 is 8085738825.

It is a happy number.

5288375808 is a `hidden beast` number, since 5 + 28 + 8 + 37 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288375801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124338 + ... + 161358.

Almost surely, 25288375808 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 5288375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877689248).

5288375808 is an abundant number, since it is smaller than the sum of its proper divisors (10467002688).

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

5288375808 is a wasteful number, since it uses less digits than its factorization.

5288375808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37076 (or 37057 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The square root of 5288375808 is about 72721.2197917499. The cubic root of 5288375808 is about 1742.2378182848.

The spelling of 5288375808 in words is "five billion, two hundred eighty-eight million, three hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1116 1152 1488 1536 1984 2232 2304 2976 3968 4464 4608 5952 7936 8928 11904 15872 17856 23808 35712 37021 47616 71424 74042 111063 142848 148084 222126 296168 333189 444252 592336 666378 888504 1147651 1184672 1332756 1777008 2295302 2369344 2665512 3442953 3554016 4590604 4738688 5331024 6885906 7108032 9181208 9477376 10328859 10662048 13771812 14216064 18362416 18954752 20657718 21324096 27543624 28432128 36724832 41315436 42648192 55087248 56864256 73449664 82630872 85296384 110174496 146899328 165261744 170592768 220348992 293798656 330523488 440697984 587597312 661046976 881395968 1322093952 1762791936 2644187904 5288375808