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58704129 = 331119101103
BaseRepresentation
bin1101111111110…
…0000100000001
311002110110221000
43133330010001
5110012013004
65454122213
71311656031
oct337740401
9132413830
1058704129
1130156310
12177b0369
13c215193
147b218c1
155248c39
hex37fc101

58704129 has 64 divisors (see below), whose sum is σ = 101836800. Its totient is φ = 33048000.

The previous prime is 58704101. The next prime is 58704137. The reversal of 58704129 is 92140785.

58704129 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 58704129 - 25 = 58704097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58704093 and 58704102.

It is not an unprimeable number, because it can be changed into a prime (58704199) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 569892 + ... + 569994.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 258704129 is an apocalyptic number.

It is an amenable number.

58704129 is a deficient number, since it is larger than the sum of its proper divisors (43132671).

58704129 is a wasteful number, since it uses less digits than its factorization.

58704129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 58704129 is about 7661.8619799628. The cubic root of 58704129 is about 388.6478023215.

It can be divided in two parts, 5870 and 4129, that added together give a palindrome (9999).

The spelling of 58704129 in words is "fifty-eight million, seven hundred four thousand, one hundred twenty-nine".

Divisors: 1 3 9 11 19 27 33 57 99 101 103 171 209 297 303 309 513 627 909 927 1111 1133 1881 1919 1957 2727 2781 3333 3399 5643 5757 5871 9999 10197 10403 17271 17613 21109 21527 29997 30591 31209 51813 52839 63327 64581 93627 114433 189981 193743 197657 280881 343299 569943 581229 592971 1029897 1778913 2174227 3089691 5336739 6522681 19568043 58704129