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46395 = 3251031
BaseRepresentation
bin1011010100111011
32100122100
423110323
52441040
6554443
7252156
oct132473
970570
1046395
1131948
1222a23
131816b
1412c9d
15db30
hexb53b

46395 has 12 divisors (see below), whose sum is σ = 80496. Its totient is φ = 24720.

The previous prime is 46381. The next prime is 46399. The reversal of 46395 is 59364.

It is a happy number.

It is not a de Polignac number, because 46395 - 212 = 42299 is a prime.

It is a nialpdrome in base 6 and base 15.

It is not an unprimeable number, because it can be changed into a prime (46399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471 + ... + 560.

It is an arithmetic number, because the mean of its divisors is an integer number (6708).

246395 is an apocalyptic number.

46395 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

46395 is a deficient number, since it is larger than the sum of its proper divisors (34101).

46395 is a wasteful number, since it uses less digits than its factorization.

46395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 46395 is about 215.3949860141. The cubic root of 46395 is about 35.9327448025.

It can be divided in two parts, 46 and 395, that added together give a square (441 = 212).

The spelling of 46395 in words is "forty-six thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 45 1031 3093 5155 9279 15465 46395