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485139456 = 210345849
BaseRepresentation
bin11100111010101…
…010010000000000
31020210212122020000
4130322222100000
51443143430311
6120050120000
715010421514
oct3472522000
91223778200
10485139456
112299374aa
12116580000
1379681089
1448608144
152c8d0056
hex1ceaa400

485139456 has 110 divisors (see below), whose sum is σ = 1448968950. Its totient is φ = 161685504.

The previous prime is 485139451. The next prime is 485139467. The reversal of 485139456 is 654931584.

485139456 is a `hidden beast` number, since 48 + 513 + 94 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 383533056 + 101606400 = 19584^2 + 10080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485139451) 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 9 ways as a sum of consecutive naturals, for example, 80020 + ... + 85868.

It is an arithmetic number, because the mean of its divisors is an integer number (13172445).

Almost surely, 2485139456 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 485139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724484475).

485139456 is an abundant number, since it is smaller than the sum of its proper divisors (963829494).

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

485139456 is an equidigital number, since it uses as much as digits as its factorization.

485139456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5854 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 485139456 is about 22025.8815033587. The cubic root of 485139456 is about 785.7580981598.

The spelling of 485139456 in words is "four hundred eighty-five million, one hundred thirty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 5849 6912 9216 10368 11698 13824 17547 20736 23396 27648 35094 41472 46792 52641 70188 82944 93584 105282 140376 157923 187168 210564 280752 315846 374336 421128 473769 561504 631692 748672 842256 947538 1123008 1263384 1497344 1684512 1895076 2246016 2526768 2994688 3369024 3790152 4492032 5053536 5989376 6738048 7580304 8984064 10107072 13476096 15160608 17968128 20214144 26952192 30321216 40428288 53904384 60642432 80856576 121284864 161713152 242569728 485139456