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46068 = 22311349
BaseRepresentation
bin1011001111110100
32100012020
423033310
52433233
6553140
7251211
oct131764
970166
1046068
1131680
12227b0
1317c79
1412b08
15d9b3
hexb3f4

46068 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 13920.

The previous prime is 46061. The next prime is 46073. The reversal of 46068 is 86064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46061) by changing a digit.

46068 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

246068 is an apocalyptic number.

It is an amenable number.

46068 is an abundant number, since it is smaller than the sum of its proper divisors (71532).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

46068 is a wasteful number, since it uses less digits than its factorization.

46068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46068 is about 214.6345731703. The cubic root of 46068 is about 35.8481256156.

It can be divided in two parts, 460 and 68, that added together give a triangular number (528 = T32).

The spelling of 46068 in words is "forty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 349 698 1047 1396 2094 3839 4188 7678 11517 15356 23034 46068