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49068 = 22322947
BaseRepresentation
bin1011111110101100
32111022100
423332230
53032233
61015100
7263025
oct137654
974270
1049068
1133958
1224490
1319446
1413c4c
15e813
hexbfac

49068 has 36 divisors (see below), whose sum is σ = 131040. Its totient is φ = 15456.

The previous prime is 49057. The next prime is 49069. The reversal of 49068 is 86094.

It is a tau number, because it is divible by the number of its divisors (36).

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 not an unprimeable number, because it can be changed into a prime (49069) by changing a digit.

49068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 1067.

It is an arithmetic number, because the mean of its divisors is an integer number (3640).

249068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520).

49068 is an abundant number, since it is smaller than the sum of its proper divisors (81972).

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

49068 is a wasteful number, since it uses less digits than its factorization.

49068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49068 is about 221.5129793037. The cubic root of 49068 is about 36.6099766765.

The spelling of 49068 in words is "forty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 47 58 87 94 116 141 174 188 261 282 348 423 522 564 846 1044 1363 1692 2726 4089 5452 8178 12267 16356 24534 49068