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61047 = 3371719
BaseRepresentation
bin1110111001110111
310002202000
432321313
53423142
61150343
7342660
oct167167
9102660
1061047
1141958
122b3b3
1321a2c
1418367
151314c
hexee77

61047 has 32 divisors (see below), whose sum is σ = 115200. Its totient is φ = 31104.

The previous prime is 61043. The next prime is 61051. The reversal of 61047 is 74016.

61047 is nontrivially palindromic in base 2.

It is an interprime number because it is at equal distance from previous prime (61043) and next prime (61051).

It is not a de Polignac number, because 61047 - 22 = 61043 is a prime.

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3204 + ... + 3222.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

261047 is an apocalyptic number.

61047 is a deficient number, since it is larger than the sum of its proper divisors (54153).

61047 is a wasteful number, since it uses less digits than its factorization.

61047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61047 is about 247.0769111026. The cubic root of 61047 is about 39.3750793649.

The spelling of 61047 in words is "sixty-one thousand, forty-seven".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 189 323 357 399 459 513 969 1071 1197 2261 2907 3213 3591 6783 8721 20349 61047