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5807342880 = 253254032877
BaseRepresentation
bin1010110100010010…
…10000010100100000
3112222201112120210100
411122021100110200
543343134433010
62400131302400
7263624412543
oct53211202440
915881476710
105807342880
112510103729
121160a4aa00
137171b2a81
143d13bc85a
1523ec7e2c0
hex15a250520

5807342880 has 72 divisors (see below), whose sum is σ = 19817562492. Its totient is φ = 1548624384.

The previous prime is 5807342867. The next prime is 5807342927. The reversal of 5807342880 is 882437085.

5807342880 is a `hidden beast` number, since 5 + 80 + 73 + 428 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5444668944 + 362673936 = 73788^2 + 19044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2014999 + ... + 2017878.

Almost surely, 25807342880 is an apocalyptic number.

It is an amenable number.

5807342880 is an abundant number, since it is smaller than the sum of its proper divisors (14010219612).

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

5807342880 is a wasteful number, since it uses less digits than its factorization.

5807342880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032898 (or 4032887 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5807342880 is about 76205.9241791608. The cubic root of 5807342880 is about 1797.4596758086.

The spelling of 5807342880 in words is "five billion, eight hundred seven million, three hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4032877 8065754 12098631 16131508 20164385 24197262 32263016 36295893 40328770 48394524 60493155 64526032 72591786 80657540 96789048 120986310 129052064 145183572 161315080 181479465 193578096 241972620 290367144 322630160 362958930 387156192 483945240 580734288 645260320 725917860 967890480 1161468576 1451835720 1935780960 2903671440 5807342880