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482169864 = 233116179379
BaseRepresentation
bin11100101111010…
…101010000001000
31020121021202201010
4130233111100020
51441413413424
6115502323520
714643243021
oct3457252010
91217252633
10482169864
112281993a0
121155895a0
1378b81517
1448073c48
152c4e5229
hex1cbd5408

482169864 has 128 divisors (see below), whose sum is σ = 1357056000. Its totient is φ = 141523200.

The previous prime is 482169847. The next prime is 482169869. The reversal of 482169864 is 468961284.

It is a super-3 number, since 3×4821698643 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (482169869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272027 + ... + 1272405.

It is an arithmetic number, because the mean of its divisors is an integer number (10602000).

Almost surely, 2482169864 is an apocalyptic number.

482169864 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 482169864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678528000).

482169864 is an abundant number, since it is smaller than the sum of its proper divisors (874886136).

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

482169864 is a wasteful number, since it uses less digits than its factorization.

482169864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 535 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 482169864 is about 21958.3666059204. The cubic root of 482169864 is about 784.1515785289.

The spelling of 482169864 in words is "four hundred eighty-two million, one hundred sixty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 79 88 122 132 158 183 237 244 264 316 366 379 474 488 632 671 732 758 869 948 1137 1342 1464 1516 1738 1896 2013 2274 2607 2684 3032 3476 4026 4169 4548 4819 5214 5368 6952 8052 8338 9096 9638 10428 12507 14457 16104 16676 19276 20856 23119 25014 28914 29941 33352 38552 46238 50028 53009 57828 59882 69357 89823 92476 100056 106018 115656 119764 138714 159027 179646 184952 212036 239528 254309 277428 318054 329351 359292 424072 508618 554856 636108 658702 718584 762927 988053 1017236 1272216 1317404 1525854 1826401 1976106 2034472 2634808 3051708 3652802 3952212 5479203 6103416 7305604 7904424 10958406 14611208 20090411 21916812 40180822 43833624 60271233 80361644 120542466 160723288 241084932 482169864