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58941 = 333759
BaseRepresentation
bin1110011000111101
32222212000
432120331
53341231
61132513
7333561
oct163075
988760
1058941
1140313
122a139
1320a9c
14176a1
15126e6
hexe63d

58941 has 16 divisors (see below), whose sum is σ = 91200. Its totient is φ = 37584.

The previous prime is 58937. The next prime is 58943. The reversal of 58941 is 14985.

It is not a de Polignac number, because 58941 - 22 = 58937 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 970 + ... + 1028.

It is an arithmetic number, because the mean of its divisors is an integer number (5700).

258941 is an apocalyptic number.

It is an amenable number.

58941 is a deficient number, since it is larger than the sum of its proper divisors (32259).

58941 is a wasteful number, since it uses less digits than its factorization.

58941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 58941 is about 242.7776760742. Note that the first 3 decimals coincide. The cubic root of 58941 is about 38.9169831761.

Subtracting from 58941 its reverse (14985), we obtain a triangular number (43956 = T296).

It can be divided in two parts, 589 and 41, that added together give a triangular number (630 = T35).

The spelling of 58941 in words is "fifty-eight thousand, nine hundred forty-one".

Divisors: 1 3 9 27 37 59 111 177 333 531 999 1593 2183 6549 19647 58941