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58811641 = 7113149499
BaseRepresentation
bin1110000001011…
…0010011111001
311002122221101221
43200112103321
5110023433031
65500312041
71312614340
oct340262371
9132587357
1058811641
113021a069
1217842621
13c2520b5
147b4cb57
15526aa11
hex38164f9

58811641 has 16 divisors (see below), whose sum is σ = 68400000. Its totient is φ = 49529088.

The previous prime is 58811639. The next prime is 58811657. The reversal of 58811641 is 14611885.

It is a happy number.

58811641 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 58811641 - 21 = 58811639 is a prime.

It is a super-2 number, since 2×588116412 = 6917618234225762, which contains 22 as substring.

It is a Duffinian number.

58811641 is a Rhonda number in base 10.

Its product of digits (7680) is a multiple of the sum of its prime divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 58811597 and 58811606.

It is not an unprimeable number, because it can be changed into a prime (58811341) 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 15 ways as a sum of consecutive naturals, for example, 117610 + ... + 118108.

It is an arithmetic number, because the mean of its divisors is an integer number (4275000).

Almost surely, 258811641 is an apocalyptic number.

It is an amenable number.

58811641 is a deficient number, since it is larger than the sum of its proper divisors (9588359).

58811641 is a wasteful number, since it uses less digits than its factorization.

58811641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its digits is 7680, while the sum is 34.

The square root of 58811641 is about 7668.8748196851. The cubic root of 58811641 is about 388.8849169330.

The spelling of 58811641 in words is "fifty-eight million, eight hundred eleven thousand, six hundred forty-one".

Divisors: 1 7 113 149 499 791 1043 3493 16837 56387 74351 117859 394709 520457 8401663 58811641