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58689680 = 2457104803
BaseRepresentation
bin1101111111100…
…0100010010000
311002102202002212
43133320202100
5110011032210
65453531252
71311565640
oct337704220
9132382085
1058689680
1130146475
12177a3b28
13c20b72a
147b1a520
155244805
hex37f8890

58689680 has 40 divisors (see below), whose sum is σ = 155948352. Its totient is φ = 20121984.

The previous prime is 58689667. The next prime is 58689713. The reversal of 58689680 is 8698685.

58689680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51842 + ... + 52961.

Almost surely, 258689680 is an apocalyptic number.

It is an amenable number.

58689680 is an abundant number, since it is smaller than the sum of its proper divisors (97258672).

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

58689680 is a wasteful number, since it uses less digits than its factorization.

58689680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104823 (or 104817 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The square root of 58689680 is about 7660.9190049236. The cubic root of 58689680 is about 388.6159134068.

The spelling of 58689680 in words is "fifty-eight million, six hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 104803 209606 419212 524015 733621 838424 1048030 1467242 1676848 2096060 2934484 3668105 4192120 5868968 7336210 8384240 11737936 14672420 29344840 58689680