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46228 = 22713127
BaseRepresentation
bin1011010010010100
32100102011
423102110
52434403
6554004
7251530
oct132224
970364
1046228
1131806
1222904
1318070
1412bc0
15da6d
hexb494

46228 has 24 divisors (see below), whose sum is σ = 100352. Its totient is φ = 18144.

The previous prime is 46219. The next prime is 46229. The reversal of 46228 is 82264.

It is a junction number, because it is equal to n+sod(n) for n = 46199 and 46208.

It is a congruent number.

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

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 7 ways as a sum of consecutive naturals, for example, 301 + ... + 427.

246228 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 46228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50176).

46228 is an abundant number, since it is smaller than the sum of its proper divisors (54124).

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

46228 is a wasteful number, since it uses less digits than its factorization.

46228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 46228 is about 215.0069766310. The cubic root of 46228 is about 35.8895793551.

The spelling of 46228 in words is "forty-six thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 127 182 254 364 508 889 1651 1778 3302 3556 6604 11557 23114 46228