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455168 = 297127
BaseRepresentation
bin1101111001000000000
3212010101002
41233020000
5104031133
613431132
73604010
oct1571000
9763332
10455168
11290a7a
1219b4a8
1312c23c
14bbc40
158ece8
hex6f200

455168 has 40 divisors (see below), whose sum is σ = 1047552. Its totient is φ = 193536.

The previous prime is 455167. The next prime is 455171. The reversal of 455168 is 861554.

It is a happy number.

455168 is nontrivially palindromic in base 15.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 455168.

It is not an unprimeable number, because it can be changed into a prime (455167) 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 3 ways as a sum of consecutive naturals, for example, 3521 + ... + 3647.

2455168 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 455168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523776).

455168 is an abundant number, since it is smaller than the sum of its proper divisors (592384).

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

455168 is an equidigital number, since it uses as much as digits as its factorization.

455168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 455168 is about 674.6613965539. The cubic root of 455168 is about 76.9231819486.

The spelling of 455168 in words is "four hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 127 128 224 254 256 448 508 512 889 896 1016 1778 1792 2032 3556 3584 4064 7112 8128 14224 16256 28448 32512 56896 65024 113792 227584 455168