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481773864 = 2331113229613
BaseRepresentation
bin11100101101110…
…100100100101000
31020120112122111110
4130231310210220
51441313230424
6115450030320
714640003345
oct3455644450
91216478443
10481773864
11227a48920
121154183a0
1378a731c0
1447dad7cc
152c467c29
hex1cb74928

481773864 has 128 divisors (see below), whose sum is σ = 1423497600. Its totient is φ = 133954560.

The previous prime is 481773841. The next prime is 481773917. The reversal of 481773864 is 468377184.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785622 + ... + 786234.

It is an arithmetic number, because the mean of its divisors is an integer number (11121075).

Almost surely, 2481773864 is an apocalyptic number.

481773864 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 481773864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711748800).

481773864 is an abundant number, since it is smaller than the sum of its proper divisors (941723736).

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

481773864 is a wasteful number, since it uses less digits than its factorization.

481773864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 871 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 481773864 is about 21949.3476896239. The cubic root of 481773864 is about 783.9368484812.

The spelling of 481773864 in words is "four hundred eighty-one million, seven hundred seventy-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 229 264 286 312 429 458 572 613 687 858 916 1144 1226 1374 1716 1832 1839 2452 2519 2748 2977 3432 3678 4904 5038 5496 5954 6743 7356 7557 7969 8931 10076 11908 13486 14712 15114 15938 17862 20152 20229 23816 23907 26972 30228 31876 32747 35724 40458 47814 53944 60456 63752 65494 71448 80916 87659 95628 98241 130988 140377 161832 175318 191256 196482 261976 262977 280754 350636 392964 421131 525954 561508 701272 785928 842262 1051908 1123016 1544147 1684524 1824901 2103816 3088294 3369048 3649802 4632441 5474703 6176588 7299604 9264882 10949406 12353176 14599208 18529764 20073911 21898812 37059528 40147822 43797624 60221733 80295644 120443466 160591288 240886932 481773864