Search a number
-
+
483083568 = 243311277367
BaseRepresentation
bin11100110010110…
…100010100110000
31020200000012002000
4130302310110300
51442132133233
6115534054000
714654066622
oct3462642460
91220005060
10483083568
11228762920
1211594a300
1379111386
1448230c12
152c625d13
hex1ccb4530

483083568 has 160 divisors (see below), whose sum is σ = 1522283520. Its totient is φ = 145463040.

The previous prime is 483083567. The next prime is 483083593. The reversal of 483083568 is 865380384.

483083568 is a `hidden beast` number, since 4 + 8 + 3 + 0 + 83 + 568 = 666.

It is a super-2 number, since 2×4830835682 = 466739467343221248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (483083567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1316121 + ... + 1316487.

It is an arithmetic number, because the mean of its divisors is an integer number (9514272).

Almost surely, 2483083568 is an apocalyptic number.

483083568 is a gapful number since it is divisible by the number (48) 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 483083568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761141760).

483083568 is an abundant number, since it is smaller than the sum of its proper divisors (1039199952).

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

483083568 is a wasteful number, since it uses less digits than its factorization.

483083568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 483083568 is about 21979.1621314371. The cubic root of 483083568 is about 784.6465841200.

The spelling of 483083568 in words is "four hundred eighty-three million, eighty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 277 297 367 396 432 528 554 594 734 792 831 1101 1108 1188 1468 1584 1662 2202 2216 2376 2493 2936 3047 3303 3324 4037 4404 4432 4752 4986 5872 6094 6606 6648 7479 8074 8808 9141 9909 9972 12111 12188 13212 13296 14958 16148 17616 18282 19818 19944 24222 24376 26424 27423 29916 32296 36333 36564 39636 39888 48444 48752 52848 54846 59832 64592 72666 73128 79272 82269 96888 101659 108999 109692 119664 145332 146256 158544 164538 193776 203318 217998 219384 290664 304977 329076 406636 435996 438768 581328 609954 658152 813272 871992 914931 1118249 1219908 1316304 1626544 1743984 1829862 2236498 2439816 2744793 3354747 3659724 4472996 4879632 5489586 6709494 7319448 8945992 10064241 10979172 13418988 14638896 17891984 20128482 21958344 26837976 30192723 40256964 43916688 53675952 60385446 80513928 120770892 161027856 241541784 483083568