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484890084 = 223372591553
BaseRepresentation
bin11100111001101…
…101010111100100
31020210101222011000
4130321231113210
51443112440314
6120040513300
715005332500
oct3471552744
91223358130
10484890084
11229787108
1211647b830
13795c4713
1448581300
152c881209
hex1ce6d5e4

484890084 has 144 divisors (see below), whose sum is σ = 1488110400. Its totient is φ = 136104192.

The previous prime is 484890061. The next prime is 484890101. The reversal of 484890084 is 480098484.

484890084 is a `hidden beast` number, since 484 + 8 + 90 + 0 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311452 + ... + 313004.

It is an arithmetic number, because the mean of its divisors is an integer number (10334100).

Almost surely, 2484890084 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 484890084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744055200).

484890084 is an abundant number, since it is smaller than the sum of its proper divisors (1003220316).

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

484890084 is a wasteful number, since it uses less digits than its factorization.

484890084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 484890084 is about 22020.2198899103. The cubic root of 484890084 is about 785.6234429598.

The spelling of 484890084 in words is "four hundred eighty-four million, eight hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 59 63 84 98 108 118 126 147 177 189 196 236 252 294 354 378 413 441 531 588 708 756 826 882 1062 1239 1323 1553 1593 1652 1764 2124 2478 2646 2891 3106 3186 3717 4659 4956 5292 5782 6212 6372 7434 8673 9318 10871 11151 11564 13977 14868 17346 18636 21742 22302 26019 27954 32613 34692 41931 43484 44604 52038 55908 65226 76097 78057 83862 91627 97839 104076 130452 152194 156114 167724 183254 195678 228291 274881 293517 304388 312228 366508 391356 456582 549762 587034 641389 684873 824643 913164 1099524 1174068 1282778 1369746 1649286 1924167 2054619 2473929 2565556 2739492 3298572 3848334 4109238 4489723 4947858 5772501 7696668 8218476 8979446 9895716 11545002 13469169 17317503 17958892 23090004 26938338 34635006 40407507 53876676 69270012 80815014 121222521 161630028 242445042 484890084