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484553344 = 27112911867
BaseRepresentation
bin11100111000011…
…011001010000000
31020202202212020011
4130320123022000
51443021201334
6120025354304
715002430652
oct3470331200
91222685204
10484553344
11229577110
12116338994
1379507372
14484d46d2
152c816564
hex1ce1b280

484553344 has 64 divisors (see below), whose sum is σ = 1089482400. Its totient is φ = 212638720.

The previous prime is 484553273. The next prime is 484553347. The reversal of 484553344 is 443355484.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 484553297 and 484553306.

It is not an unprimeable number, because it can be changed into a prime (484553347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34899 + ... + 46765.

Almost surely, 2484553344 is an apocalyptic number.

484553344 is a gapful number since it is divisible by the number (44) 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 484553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544741200).

484553344 is an abundant number, since it is smaller than the sum of its proper divisors (604929056).

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

484553344 is a wasteful number, since it uses less digits than its factorization.

484553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11921 (or 11909 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 484553344 is about 22012.5724076038. The cubic root of 484553344 is about 785.4415377465.

The spelling of 484553344 in words is "four hundred eighty-four million, five hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 11867 20416 23734 40832 47468 94936 130537 189872 261074 344143 379744 522148 688286 759488 1044296 1376572 1518976 2088592 2753144 3785573 4177184 5506288 7571146 8354368 11012576 15142292 16708736 22025152 30284584 44050304 60569168 121138336 242276672 484553344