Search a number
-
+
46416 = 243967
BaseRepresentation
bin1011010101010000
32100200010
423111100
52441131
6554520
7252216
oct132520
970603
1046416
1131967
1222a40
1318186
1412cb6
15db46
hexb550

46416 has 20 divisors (see below), whose sum is σ = 120032. Its totient is φ = 15456.

The previous prime is 46411. The next prime is 46439. The reversal of 46416 is 61464.

Added to its reverse (61464) it gives a triangular number (107880 = T464).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 46392 and 46401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46411) by changing a digit.

46416 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 436 + ... + 531.

246416 is an apocalyptic number.

It is an amenable number.

46416 is an abundant number, since it is smaller than the sum of its proper divisors (73616).

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 (60016).

46416 is a wasteful number, since it uses less digits than its factorization.

46416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 46416 is about 215.4437281519. The cubic root of 46416 is about 35.9381654571.

Adding to 46416 its reverse (61464), we get a triangular number (107880 = T464).

The spelling of 46416 in words is "forty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 967 1934 2901 3868 5802 7736 11604 15472 23208 46416