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46224 = 2433107
BaseRepresentation
bin1011010010010000
32100102000
423102100
52434344
6554000
7251523
oct132220
970360
1046224
1131802
1222900
1318069
1412bba
15da69
hexb490

46224 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 15264.

The previous prime is 46219. The next prime is 46229. The reversal of 46224 is 42264.

Adding to 46224 its reverse (42264), we get a palindrome (88488).

It is a Cunningham number, because it is equal to 2152-1.

It is an interprime number because it is at equal distance from previous prime (46219) and next prime (46229).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 46197 and 46206.

It is not an unprimeable number, because it can be changed into a prime (46229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379 + ... + 485.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

246224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

46224 is an abundant number, since it is smaller than the sum of its proper divisors (87696).

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

46224 is a wasteful number, since it uses less digits than its factorization.

46224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 46224 is about 214.9976744060. The cubic root of 46224 is about 35.8885441783. Note that the first 3 decimals are identical.

The spelling of 46224 in words is "forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11556 15408 23112 46224