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486679424 = 277112672
BaseRepresentation
bin11101000000100…
…010001110000000
31020220202212122212
4131000202032000
51444042220144
6120143121252
715026464310
oct3500421600
91226685585
10486679424
1122a799500
12116ba3228
1379a9ccba
14488c9440
152cad649e
hex1d022380

486679424 has 144 divisors (see below), whose sum is σ = 1236405240. Its totient is φ = 186785280.

The previous prime is 486679423. The next prime is 486679469. The reversal of 486679424 is 424976684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486679423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7263839 + ... + 7263905.

Almost surely, 2486679424 is an apocalyptic number.

486679424 is a gapful number since it is divisible by the number (44) 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 486679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618202620).

486679424 is an abundant number, since it is smaller than the sum of its proper divisors (749725816).

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

486679424 is an equidigital number, since it uses as much as digits as its factorization.

486679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 87 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 50.

The square root of 486679424 is about 22060.8119524192. The cubic root of 486679424 is about 786.5886251542.

The spelling of 486679424 in words is "four hundred eighty-six million, six hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 67 77 88 112 121 128 134 154 176 224 242 268 308 352 448 469 484 536 616 704 737 847 896 938 968 1072 1232 1408 1474 1694 1876 1936 2144 2464 2948 3388 3752 3872 4288 4489 4928 5159 5896 6776 7504 7744 8107 8576 8978 9856 10318 11792 13552 15008 15488 16214 17956 20636 23584 27104 30016 31423 32428 35912 41272 47168 49379 54208 56749 60032 62846 64856 71824 82544 94336 98758 108416 113498 125692 129712 143648 165088 197516 226996 251384 259424 287296 330176 345653 395032 453992 502768 518848 543169 574592 660352 691306 790064 907984 1005536 1037696 1086338 1382612 1580128 1815968 2011072 2172676 2765224 3160256 3631936 3802183 4022144 4345352 5530448 6320512 7263872 7604366 8690704 11060896 15208732 17381408 22121792 30417464 34762816 44243584 60834928 69525632 121669856 243339712 486679424