Search a number
-
+
484448016 = 2431319291409
BaseRepresentation
bin11100111000000…
…001011100010000
31020202120111202010
4130320001130100
51443004314031
6120023222520
715001511613
oct3470013420
91222514663
10484448016
11229504a68
121162a7a40
137949b440
14484a817a
152c7e5246
hex1ce01710

484448016 has 160 divisors (see below), whose sum is σ = 1468656000. Its totient is φ = 136249344.

The previous prime is 484447991. The next prime is 484448051. The reversal of 484448016 is 610844484.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343120 + ... + 344528.

It is an arithmetic number, because the mean of its divisors is an integer number (9179100).

Almost surely, 2484448016 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 484448016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734328000).

484448016 is an abundant number, since it is smaller than the sum of its proper divisors (984207984).

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

484448016 is a wasteful number, since it uses less digits than its factorization.

484448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 484448016 is about 22010.1798266166. The cubic root of 484448016 is about 785.3846228011.

The spelling of 484448016 in words is "four hundred eighty-four million, four hundred forty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 29 38 39 48 52 57 58 76 78 87 104 114 116 152 156 174 208 228 232 247 304 312 348 377 456 464 494 551 624 696 741 754 912 988 1102 1131 1392 1409 1482 1508 1653 1976 2204 2262 2818 2964 3016 3306 3952 4227 4408 4524 5636 5928 6032 6612 7163 8454 8816 9048 11272 11856 13224 14326 16908 18096 18317 21489 22544 26448 26771 28652 33816 36634 40861 42978 53542 54951 57304 67632 73268 80313 81722 85956 107084 109902 114608 122583 146536 160626 163444 171912 214168 219804 245166 293072 321252 326888 343824 348023 428336 439608 490332 531193 642504 653776 696046 776359 879216 980664 1044069 1062386 1285008 1392092 1552718 1593579 1961328 2088138 2124772 2329077 2784184 3105436 3187158 4176276 4249544 4658154 5568368 6210872 6374316 8352552 8499088 9316308 10092667 12421744 12748632 16705104 18632616 20185334 25497264 30278001 37265232 40370668 60556002 80741336 121112004 161482672 242224008 484448016