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1482223872 = 28329611091
BaseRepresentation
bin101100001011000…
…1111000100000000
310211022001202220110
41120112033010000
511013422130442
6403025111320
751505460253
oct13026170400
93738052813
101482223872
116a0749808
12354488540
131a810a15c
14100bd709a
158a1d769c
hex5858f100

1482223872 has 144 divisors (see below), whose sum is σ = 4151609280. Its totient is φ = 468787200.

The previous prime is 1482223867. The next prime is 1482223921. The reversal of 1482223872 is 2783222841.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1482223872.

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 15 ways as a sum of consecutive naturals, for example, 1358047 + ... + 1359137.

It is an arithmetic number, because the mean of its divisors is an integer number (28830620).

Almost surely, 21482223872 is an apocalyptic number.

1482223872 is a gapful number since it is divisible by the number (12) 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 1482223872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075804640).

1482223872 is an abundant number, since it is smaller than the sum of its proper divisors (2669385408).

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

1482223872 is a wasteful number, since it uses less digits than its factorization.

1482223872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 1482223872 is about 38499.6606738293. The cubic root of 1482223872 is about 1140.1743531420.

The spelling of 1482223872 in words is "one billion, four hundred eighty-two million, two hundred twenty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 128 174 183 192 232 244 256 348 366 384 464 488 696 732 768 928 976 1091 1392 1464 1769 1856 1952 2182 2784 2928 3273 3538 3712 3904 4364 5307 5568 5856 6546 7076 7424 7808 8728 10614 11136 11712 13092 14152 15616 17456 21228 22272 23424 26184 28304 31639 34912 42456 46848 52368 56608 63278 66551 69824 84912 94917 104736 113216 126556 133102 139648 169824 189834 199653 209472 226432 253112 266204 279296 339648 379668 399306 418944 452864 506224 532408 679296 759336 798612 837888 1012448 1064816 1358592 1518672 1597224 1929979 2024896 2129632 3037344 3194448 3859958 4049792 4259264 5789937 6074688 6388896 7719916 8099584 8518528 11579874 12149376 12777792 15439832 17037056 23159748 24298752 25555584 30879664 46319496 51111168 61759328 92638992 123518656 185277984 247037312 370555968 494074624 741111936 1482223872