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481337856 = 293334819
BaseRepresentation
bin11100101100001…
…010001000000000
31020112201111102000
4130230022020000
51441210302411
6115432424000
714633206236
oct3454121000
91215644360
10481337856
1122778028a
12115248000
137894c8cc
1447cd8956
152c3cd956
hex1cb0a200

481337856 has 80 divisors (see below), whose sum is σ = 1424834400. Its totient is φ = 160441344.

The previous prime is 481337839. The next prime is 481337867. The reversal of 481337856 is 658733184.

It is a super-2 number, since 2×4813378562 = 463372263237353472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3586 + ... + 31233.

It is an arithmetic number, because the mean of its divisors is an integer number (17810430).

Almost surely, 2481337856 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 481337856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712417200).

481337856 is an abundant number, since it is smaller than the sum of its proper divisors (943496544).

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

481337856 is an equidigital number, since it uses as much as digits as its factorization.

481337856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34846 (or 34824 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 481337856 is about 21939.4133011801. The cubic root of 481337856 is about 783.7002880490.

The spelling of 481337856 in words is "four hundred eighty-one million, three hundred thirty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 34819 69638 104457 139276 208914 278552 313371 417828 557104 626742 835656 940113 1114208 1253484 1671312 1880226 2228416 2506968 3342624 3760452 4456832 5013936 6685248 7520904 8913664 10027872 13370496 15041808 17827328 20055744 26740992 30083616 40111488 53481984 60167232 80222976 120334464 160445952 240668928 481337856