Search a number
-
+
2480862468 = 223743215973
BaseRepresentation
bin1001001111011110…
…1111010100000100
320101220011212112010
42103313233110010
520040100044333
61050101254220
7115322661120
oct22367572404
96356155463
102480862468
111063422767
12592a04370
13306c8b776
141976ac580
15e7bea563
hex93def504

2480862468 has 72 divisors (see below), whose sum is σ = 6773487168. Its totient is φ = 692290368.

The previous prime is 2480862457. The next prime is 2480862473. The reversal of 2480862468 is 8642680842.

It is a super-3 number, since 3×24808624683 (a number of 29 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 147330 + ... + 163302.

Almost surely, 22480862468 is an apocalyptic number.

2480862468 is a gapful number since it is divisible by the number (28) 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 2480862468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386743584).

2480862468 is an abundant number, since it is smaller than the sum of its proper divisors (4292624700).

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

2480862468 is a wasteful number, since it uses less digits than its factorization.

2480862468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073 (or 16028 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 2480862468 is about 49808.2570263204. The cubic root of 2480862468 is about 1353.7367834370.

The spelling of 2480862468 in words is "two billion, four hundred eighty million, eight hundred sixty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 516 602 903 1204 1806 1849 3612 3698 5547 7396 11094 12943 15973 22188 25886 31946 38829 47919 51772 63892 77658 95838 111811 155316 191676 223622 335433 447244 670866 686839 1341732 1373678 2060517 2747356 4121034 4807873 8242068 9615746 14423619 19231492 28847238 29534077 57694476 59068154 88602231 118136308 177204462 206738539 354408924 413477078 620215617 826954156 1240431234 2480862468