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58361941 = 11101131401
BaseRepresentation
bin1101111010100…
…0100001010101
311001211002112101
43132220201111
5104420040231
65442522101
71306032301
oct336504125
9131732471
1058361941
112aa42210
1217666331
13c1254c1
147a72d01
1551cc661
hex37a8855

58361941 has 16 divisors (see below), whose sum is σ = 64950336. Its totient is φ = 52000000.

The previous prime is 58361917. The next prime is 58361951. The reversal of 58361941 is 14916385.

58361941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a 6-Lehmer number, since φ(58361941) divides (58361941-1)6.

It is a cyclic number.

It is not a de Polignac number, because 58361941 - 25 = 58361909 is a prime.

It is a super-2 number, since 2×583619412 = 6812232314574962, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58361941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58361911) 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, 145341 + ... + 145741.

It is an arithmetic number, because the mean of its divisors is an integer number (4059396).

Almost surely, 258361941 is an apocalyptic number.

58361941 is the 4411-st octagonal number.

It is an amenable number.

58361941 is a deficient number, since it is larger than the sum of its proper divisors (6588395).

58361941 is a wasteful number, since it uses less digits than its factorization.

58361941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its digits is 25920, while the sum is 37.

The square root of 58361941 is about 7639.4987401007. The cubic root of 58361941 is about 387.8911840137.

It can be divided in two parts, 5836 and 1941, that added together give a palindrome (7777).

The spelling of 58361941 in words is "fifty-eight million, three hundred sixty-one thousand, nine hundred forty-one".

Divisors: 1 11 101 131 401 1111 1441 4411 13231 40501 52531 145541 445511 577841 5305631 58361941