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46000 = 245323
BaseRepresentation
bin1011001110110000
32100002201
423032300
52433000
6552544
7251053
oct131660
970081
1046000
1131619
1222754
1317c26
1412a9a
15d96a
hexb3b0

46000 has 40 divisors (see below), whose sum is σ = 116064. Its totient is φ = 17600.

The previous prime is 45989. The next prime is 46021. The reversal of 46000 is 64.

46000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1989 + ... + 2011.

246000 is an apocalyptic number.

46000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46000 is the 115-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58032).

46000 is an abundant number, since it is smaller than the sum of its proper divisors (70064).

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

46000 is a wasteful number, since it uses less digits than its factorization.

46000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 46000 is about 214.4761058953. The cubic root of 46000 is about 35.8304787102.

Adding to 46000 its reverse (64), we get a palindrome (46064).

The spelling of 46000 in words is "forty-six thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000