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5593434048 = 26336475003
BaseRepresentation
bin1010011010110010…
…10000011111000000
3112102211000220001000
411031121100133000
542423404342143
62323010412000
7255416255616
oct51531203700
915384026030
105593434048
112410390874
121101291000
136b1a989b7
143b0c196b6
1522b0c8bd3
hex14d6507c0

5593434048 has 112 divisors (see below), whose sum is σ = 16472367360. Its totient is φ = 1861224192.

The previous prime is 5593434047. The next prime is 5593434079. The reversal of 5593434048 is 8404343955.

It is a junction number, because it is equal to n+sod(n) for n = 5593433994 and 5593434012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5593434043) 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, 1115515 + ... + 1120517.

Almost surely, 25593434048 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 5593434048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8236183680).

5593434048 is an abundant number, since it is smaller than the sum of its proper divisors (10878933312).

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

5593434048 is a wasteful number, since it uses less digits than its factorization.

5593434048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671 (or 5655 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 5593434048 is about 74789.2642563089. The cubic root of 5593434048 is about 1775.1136921688.

It can be divided in two parts, 559343 and 4048, that added together give a triangular number (563391 = T1061).

The spelling of 5593434048 in words is "five billion, five hundred ninety-three million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 647 864 1294 1728 1941 2588 3882 5003 5176 5823 7764 10006 10352 11646 15009 15528 17469 20012 20704 23292 30018 31056 34938 40024 41408 45027 46584 60036 62112 69876 80048 90054 93168 120072 124224 135081 139752 160096 180108 186336 240144 270162 279504 320192 360216 372672 480288 540324 559008 720432 960576 1080648 1118016 1440864 2161296 2881728 3236941 4322592 6473882 8645184 9710823 12947764 19421646 25895528 29132469 38843292 51791056 58264938 77686584 87397407 103582112 116529876 155373168 174794814 207164224 233059752 310746336 349589628 466119504 621492672 699179256 932239008 1398358512 1864478016 2796717024 5593434048