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BaseRepresentation
bin1011010000110000
32100021110
423100300
52434003
6553320
7251325
oct132060
970243
1046128
1131725
1222840
1317cc4
1412b4c
15da03
hexb430

46128 has 30 divisors (see below), whose sum is σ = 123132. Its totient is φ = 14880.

The previous prime is 46103. The next prime is 46133. The reversal of 46128 is 82164.

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 6 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1473 + ... + 1503.

246128 is an apocalyptic number.

46128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61566).

46128 is an abundant number, since it is smaller than the sum of its proper divisors (77004).

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

46128 is a wasteful number, since it uses less digits than its factorization.

46128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 46128 is about 214.7743001385. The cubic root of 46128 is about 35.8636819991.

The spelling of 46128 in words is "forty-six thousand, one hundred twenty-eight".