Search a number
-
+
58000481 = 7111759751
BaseRepresentation
bin1101110101000…
…0010001100001
311001010201200222
43131100101201
5104322003411
65431052425
71302665420
oct335202141
9131121628
1058000481
112a815690
1217511115
13c029b16
1479bb2b7
15515a4db
hex3750461

58000481 has 32 divisors (see below), whose sum is σ = 77967360. Its totient is φ = 41760000.

The previous prime is 58000477. The next prime is 58000489. The reversal of 58000481 is 18400085.

It is a cyclic number.

It is not a de Polignac number, because 58000481 - 22 = 58000477 is a prime.

It is a super-2 number, since 2×580004812 = 6728111592462722, which contains 22 as substring.

It is a Duffinian number.

58000481 is a modest number, since divided by 481 gives 58 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 58000481.

It is not an unprimeable number, because it can be changed into a prime (58000489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76856 + ... + 77606.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480).

Almost surely, 258000481 is an apocalyptic number.

It is an amenable number.

58000481 is a deficient number, since it is larger than the sum of its proper divisors (19966879).

58000481 is a wasteful number, since it uses less digits than its factorization.

58000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 58000481 is about 7615.8046849955. The cubic root of 58000481 is about 387.0887341125.

It can be divided in two parts, 580004 and 81, that added together give a palindrome (580085).

The spelling of 58000481 in words is "fifty-eight million, four hundred eighty-one", and thus it is an aban number.

Divisors: 1 7 11 17 59 77 119 187 413 649 751 1003 1309 4543 5257 7021 8261 11033 12767 44309 57827 77231 89369 140437 310163 487399 753253 983059 3411793 5272771 8285783 58000481