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46052 = 2229397
BaseRepresentation
bin1011001111100100
32100011122
423033210
52433202
6553112
7251156
oct131744
970148
1046052
1131666
1222798
1317c66
15d9a2
hexb3e4

46052 has 12 divisors (see below), whose sum is σ = 83580. Its totient is φ = 22176.

The previous prime is 46051. The next prime is 46061. The reversal of 46052 is 25064.

It can be written as a sum of positive squares in 2 ways, for example, as 27556 + 18496 = 166^2 + 136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83 + ... + 314.

It is an arithmetic number, because the mean of its divisors is an integer number (6965).

246052 is an apocalyptic number.

It is an amenable number.

46052 is a deficient number, since it is larger than the sum of its proper divisors (37528).

46052 is a wasteful number, since it uses less digits than its factorization.

46052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 46052 is about 214.5972972803. The cubic root of 46052 is about 35.8439749657.

It can be divided in two parts, 460 and 52, that added together give a 9-th power (512 = 29).

The spelling of 46052 in words is "forty-six thousand, fifty-two", and thus it is an eban number.

Divisors: 1 2 4 29 58 116 397 794 1588 11513 23026 46052