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46396 = 2271657
BaseRepresentation
bin1011010100111100
32100122101
423110330
52441041
6554444
7252160
oct132474
970571
1046396
1131949
1222a24
131816c
1412ca0
15db31
hexb53c

46396 has 12 divisors (see below), whose sum is σ = 92848. Its totient is φ = 19872.

The previous prime is 46381. The next prime is 46399. The reversal of 46396 is 69364.

46396 = T43 + T44 + ... + T70.

46396 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 1657 = 46396 / (4 + 6 + 3 + 9 + 6).

It is a nialpdrome in base 6 and base 15.

It is a zygodrome in base 6.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 801 + ... + 856.

246396 is an apocalyptic number.

It is an amenable number.

46396 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (46424).

46396 is a wasteful number, since it uses less digits than its factorization.

46396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1666 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

The square root of 46396 is about 215.3973073184. The cubic root of 46396 is about 35.9330029660.

It can be divided in two parts, 4 and 6396, that added together give a square (6400 = 802).

The spelling of 46396 in words is "forty-six thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 1657 3314 6628 11599 23198 46396