Base | Representation |
---|---|
bin | 11011001000001… |
… | …110100011000000 |
3 | 1011201102120212010 |
4 | 123020032203000 |
5 | 1413004012233 |
6 | 113055132520 |
7 | 14164432230 |
oct | 3310164300 |
9 | 1151376763 |
10 | 455141568 |
11 | 213a08662 |
12 | 108514140 |
13 | 733aa04b |
14 | 44639cc0 |
15 | 29e56b63 |
hex | 1b20e8c0 |
455141568 has 112 divisors (see below), whose sum is σ = 1395415040. Its totient is φ = 128231424.
The previous prime is 455141543. The next prime is 455141569. The reversal of 455141568 is 865141554.
It is a tau number, because it is divible by the number of its divisors (112).
It is not an unprimeable number, because it can be changed into a prime (455141569) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95793 + ... + 100431.
Almost surely, 2455141568 is an apocalyptic number.
455141568 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 455141568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697707520).
455141568 is an abundant number, since it is smaller than the sum of its proper divisors (940273472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
455141568 is a wasteful number, since it uses less digits than its factorization.
455141568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4734 (or 4724 counting only the distinct ones).
The product of its digits is 96000, while the sum is 39.
The square root of 455141568 is about 21334.0471547243. The cubic root of 455141568 is about 769.2169292115.
The spelling of 455141568 in words is "four hundred fifty-five million, one hundred forty-one thousand, five hundred sixty-eight".
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