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47058 = 23112331
BaseRepresentation
bin1011011111010010
32101112220
423133102
53001213
61001510
7254124
oct133722
971486
1047058
11323a0
1223296
131855b
1413214
15de23
hexb7d2

47058 has 32 divisors (see below), whose sum is σ = 110592. Its totient is φ = 13200.

The previous prime is 47057. The next prime is 47059. The reversal of 47058 is 85074.

It is an interprime number because it is at equal distance from previous prime (47057) and next prime (47059).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (47051) 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, 1503 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (3456).

247058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296).

47058 is an abundant number, since it is smaller than the sum of its proper divisors (63534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47058 is a wasteful number, since it uses less digits than its factorization.

47058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 47058 is about 216.9285596688. The cubic root of 47058 is about 36.1030995157.

It can be divided in two parts, 470 and 58, that added together give a triangular number (528 = T32).

The spelling of 47058 in words is "forty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 11 22 23 31 33 46 62 66 69 93 138 186 253 341 506 682 713 759 1023 1426 1518 2046 2139 4278 7843 15686 23529 47058