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482082216 = 233711353739
BaseRepresentation
bin11100101110111…
…111110110101000
31020121010022110220
4130232333312220
51441403112331
6115500410040
714642426340
oct3456776650
91217108426
10482082216
11228139560
12115546920
1378b50665
144804dd20
152c4c9296
hex1cbbfda8

482082216 has 128 divisors (see below), whose sum is σ = 1508889600. Its totient is φ = 124692480.

The previous prime is 482082179. The next prime is 482082217. The reversal of 482082216 is 612280284.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (482082217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651975 + ... + 652713.

It is an arithmetic number, because the mean of its divisors is an integer number (11788200).

Almost surely, 2482082216 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 482082216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754444800).

482082216 is an abundant number, since it is smaller than the sum of its proper divisors (1026807384).

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

482082216 is a wasteful number, since it uses less digits than its factorization.

482082216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 482082216 is about 21956.3707383529. The cubic root of 482082216 is about 784.1040617459.

The spelling of 482082216 in words is "four hundred eighty-two million, eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 353 462 616 706 739 924 1059 1412 1478 1848 2118 2217 2471 2824 2956 3883 4236 4434 4942 5173 5912 7413 7766 8129 8472 8868 9884 10346 11649 14826 15519 15532 16258 17736 19768 20692 23298 24387 27181 29652 31038 31064 32516 41384 46596 48774 54362 56903 59304 62076 65032 81543 93192 97548 108724 113806 124152 163086 170709 195096 217448 227612 260867 326172 341418 455224 521734 652344 682836 782601 1043468 1365672 1565202 1826069 2086936 2869537 3130404 3652138 5478207 5739074 6260808 7304276 8608611 10956414 11478148 14608552 17217222 20086759 21912828 22956296 34434444 40173518 43825656 60260277 68868888 80347036 120520554 160694072 241041108 482082216