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455229944 = 231317376959
BaseRepresentation
bin11011001000100…
…100000111111000
31011201121002002022
4123020210013320
51413014324234
6113101054012
714165251001
oct3310440770
91151532068
10455229944
11213a68aa4
12108557308
137340b340
14446601a8
1529e72e2e
hex1b2241f8

455229944 has 64 divisors (see below), whose sum is σ = 999734400. Its totient is φ = 192374784.

The previous prime is 455229923. The next prime is 455229967. The reversal of 455229944 is 449922554.

It is a junction number, because it is equal to n+sod(n) for n = 455229895 and 455229904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61937 + ... + 68895.

It is an arithmetic number, because the mean of its divisors is an integer number (15620850).

Almost surely, 2455229944 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 455229944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499867200).

455229944 is an abundant number, since it is smaller than the sum of its proper divisors (544504456).

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

455229944 is a wasteful number, since it uses less digits than its factorization.

455229944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its digits is 518400, while the sum is 44.

The square root of 455229944 is about 21336.1182973848. The cubic root of 455229944 is about 769.2667129276.

The spelling of 455229944 in words is "four hundred fifty-five million, two hundred twenty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 37 52 68 74 104 136 148 221 296 442 481 629 884 962 1258 1768 1924 2516 3848 5032 6959 8177 13918 16354 27836 32708 55672 65416 90467 118303 180934 236606 257483 361868 473212 514966 723736 946424 1029932 1537939 2059864 3075878 3347279 4377211 6151756 6694558 8754422 12303512 13389116 17508844 26778232 35017688 56903743 113807486 227614972 455229944