Search a number
-
+
1218382848 = 21032731811
BaseRepresentation
bin100100010011111…
…0000110000000000
310010220121021001200
41020213300300000
54443401222343
6320522101200
742123040404
oct11047606000
93126537050
101218382848
11575822081
122a004a800
1316555c7c7
14b7b57104
1571e6c4d3
hex489f0c00

1218382848 has 132 divisors (see below), whose sum is σ = 3568215768. Its totient is φ = 400343040.

The previous prime is 1218382819. The next prime is 1218382849. The reversal of 1218382848 is 8482838121.

It is a happy number.

It is a super-2 number, since 2×12183828482 = 2968913528601182208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1218382849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671863 + ... + 673673.

Almost surely, 21218382848 is an apocalyptic number.

1218382848 is a gapful number since it is divisible by the number (18) 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 1218382848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784107884).

1218382848 is an abundant number, since it is smaller than the sum of its proper divisors (2349832920).

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

1218382848 is a wasteful number, since it uses less digits than its factorization.

1218382848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1889 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 1218382848 is about 34905.3412531664. The cubic root of 1218382848 is about 1068.0573970752.

The spelling of 1218382848 in words is "one billion, two hundred eighteen million, three hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 1811 2304 2336 2628 3072 3504 3622 4608 4672 5256 5433 7008 7244 9216 9344 10512 10866 14016 14488 16299 18688 21024 21732 28032 28976 32598 37376 42048 43464 56064 57952 65196 74752 84096 86928 112128 115904 130392 132203 168192 173856 224256 231808 260784 264406 336384 347712 396609 463616 521568 528812 672768 695424 793218 927232 1043136 1057624 1189827 1390848 1586436 1854464 2086272 2115248 2379654 2781696 3172872 4172544 4230496 4759308 5563392 6345744 8345088 8460992 9518616 12691488 16690176 16921984 19037232 25382976 33843968 38074464 50765952 67687936 76148928 101531904 135375872 152297856 203063808 304595712 406127616 609191424 1218382848