Search a number
-
+
58938737 = 1121389421
BaseRepresentation
bin1110000011010…
…1010101110001
311002220101202012
43200311111301
5110042014422
65503132305
71313654024
oct340652561
9132811665
1058938737
11302a6600
12178a4095
13c297bc0
147b831bb
1552934e2
hex3835571

58938737 has 24 divisors (see below), whose sum is σ = 70718760. Its totient is φ = 48787200.

The previous prime is 58938713. The next prime is 58938751. The reversal of 58938737 is 73783985.

58938737 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6071296 + 52867441 = 2464^2 + 7271^2 .

It is a de Polignac number, because none of the positive numbers 2k-58938737 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58938797) 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 23 ways as a sum of consecutive naturals, for example, 139787 + ... + 140207.

It is an arithmetic number, because the mean of its divisors is an integer number (2946615).

Almost surely, 258938737 is an apocalyptic number.

It is an amenable number.

58938737 is a deficient number, since it is larger than the sum of its proper divisors (11780023).

58938737 is a wasteful number, since it uses less digits than its factorization.

58938737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 50.

The square root of 58938737 is about 7677.1568304940. The cubic root of 58938737 is about 389.1648510590.

The spelling of 58938737 in words is "fifty-eight million, nine hundred thirty-eight thousand, seven hundred thirty-seven".

Divisors: 1 11 13 89 121 143 421 979 1157 1573 4631 5473 10769 12727 37469 50941 60203 139997 412159 487097 662233 4533749 5358067 58938737