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486332016 = 243611631019
BaseRepresentation
bin11100111111001…
…101011001110000
31020220010020002220
4130333031121300
51444000111031
6120131441040
715023516412
oct3477153160
91226106086
10486332016
1122a581495
12116a56180
13799aab31
14488389b2
152ca68596
hex1cfcd670

486332016 has 80 divisors (see below), whose sum is σ = 1286048640. Its totient is φ = 158319360.

The previous prime is 486331997. The next prime is 486332017. The reversal of 486332016 is 610233684.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486332017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 476755 + ... + 477773.

It is an arithmetic number, because the mean of its divisors is an integer number (16075608).

Almost surely, 2486332016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643024320).

486332016 is an abundant number, since it is smaller than the sum of its proper divisors (799716624).

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

486332016 is a wasteful number, since it uses less digits than its factorization.

486332016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 486332016 is about 22052.9366751914. The cubic root of 486332016 is about 786.4014162059.

The spelling of 486332016 in words is "four hundred eighty-six million, three hundred thirty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 163 183 244 326 366 488 489 652 732 976 978 1019 1304 1464 1956 2038 2608 2928 3057 3912 4076 6114 7824 8152 9943 12228 16304 19886 24456 29829 39772 48912 59658 62159 79544 119316 124318 159088 166097 186477 238632 248636 332194 372954 477264 497272 498291 664388 745908 994544 996582 1328776 1491816 1993164 2657552 2983632 3986328 7972656 10131917 20263834 30395751 40527668 60791502 81055336 121583004 162110672 243166008 486332016