Search a number
-
+
58375121 = 722335113
BaseRepresentation
bin1101111010101…
…1101111010001
311001211202121112
43132223233101
5104421000441
65443103105
71306115600
oct336535721
9131752545
1058375121
112aa51102
1217671a95
13c12b4bc
147a77a37
1551d14eb
hex37abbd1

58375121 has 12 divisors (see below), whose sum is σ = 68210532. Its totient is φ = 49811328.

The previous prime is 58375117. The next prime is 58375153. The reversal of 58375121 is 12157385.

It can be written as a sum of positive squares in 2 ways, for example, as 4558225 + 53816896 = 2135^2 + 7336^2 .

It is not a de Polignac number, because 58375121 - 22 = 58375117 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58375111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8861 + ... + 13973.

It is an arithmetic number, because the mean of its divisors is an integer number (5684211).

Almost surely, 258375121 is an apocalyptic number.

It is an amenable number.

58375121 is a deficient number, since it is larger than the sum of its proper divisors (9835411).

58375121 is a wasteful number, since it uses less digits than its factorization.

58375121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5353 counting only the distinct ones).

The product of its digits is 8400, while the sum is 32.

The square root of 58375121 is about 7640.3613134459. The cubic root of 58375121 is about 387.9203812434.

The spelling of 58375121 in words is "fifty-eight million, three hundred seventy-five thousand, one hundred twenty-one".

Divisors: 1 7 49 233 1631 5113 11417 35791 250537 1191329 8339303 58375121