Search a number
-
+
4515214480 = 2457311991307
BaseRepresentation
bin1000011010010000…
…01011010010010000
3102122200011122211221
410031020023102100
533221343330410
62024012414424
7216614455420
oct41510132220
912580148757
104515214480
111a077a2517
12a60177414
1356c5a295a
1430b94a480
151b65e64da
hex10d20b490

4515214480 has 160 divisors (see below), whose sum is σ = 12456345600. Its totient is φ = 1489466880.

The previous prime is 4515214477. The next prime is 4515214489. The reversal of 4515214480 is 844125154.

It is not an unprimeable number, because it can be changed into a prime (4515214489) by changing a digit.

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, 3453987 + ... + 3455293.

It is an arithmetic number, because the mean of its divisors is an integer number (77852160).

Almost surely, 24515214480 is an apocalyptic number.

4515214480 is a gapful number since it is divisible by the number (40) 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 4515214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228172800).

4515214480 is an abundant number, since it is smaller than the sum of its proper divisors (7941131120).

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

4515214480 is a wasteful number, since it uses less digits than its factorization.

4515214480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 4515214480 is about 67195.3456721520. The cubic root of 4515214480 is about 1652.8221650048.

The spelling of 4515214480 in words is "four billion, five hundred fifteen million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 199 217 248 280 310 398 434 496 560 620 796 868 995 1085 1240 1307 1393 1592 1736 1990 2170 2480 2614 2786 3184 3472 3980 4340 5228 5572 6169 6535 6965 7960 8680 9149 10456 11144 12338 13070 13930 15920 17360 18298 20912 22288 24676 26140 27860 30845 36596 40517 43183 45745 49352 52280 55720 61690 73192 81034 86366 91490 98704 104560 111440 123380 146384 162068 172732 182980 202585 215915 246760 260093 283619 324136 345464 365960 405170 431830 493520 520186 567238 648272 690928 731920 810340 863660 1040372 1134476 1300465 1418095 1620680 1727320 1820651 2080744 2268952 2600930 2836190 3241360 3454640 3641302 4161488 4537904 5201860 5672380 7282604 8062883 9103255 10403720 11344760 14565208 16125766 18206510 20807440 22689520 29130416 32251532 36413020 40314415 56440181 64503064 72826040 80628830 112880362 129006128 145652080 161257660 225760724 282200905 322515320 451521448 564401810 645030640 903042896 1128803620 2257607240 4515214480