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486820096 = 28721972
BaseRepresentation
bin11101000001000…
…100100100000000
31020221001000121221
4131001010210000
51444111220341
6120150124424
715030621400
oct3501044400
91227030557
10486820096
1122a885164
12117050714
1379b1c039
1448924800
152cb12ed1
hex1d044900

486820096 has 81 divisors (see below), whose sum is σ = 1136156889. Its totient is φ = 207578112.

The previous prime is 486820067. The next prime is 486820123. The reversal of 486820096 is 690028684.

It is a happy number.

The square root of 486820096 is 22064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 476985600 + 9834496 = 21840^2 + 3136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2471070 + ... + 2471266.

Almost surely, 2486820096 is an apocalyptic number.

486820096 is the 22064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 486820096

486820096 is an abundant number, since it is smaller than the sum of its proper divisors (649336793).

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

486820096 is an frugal number, since it uses more digits than its factorization.

486820096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The cubic root of 486820096 is about 786.6644042196.

It can be divided in two parts, 4868 and 20096, that added together give a square (24964 = 1582).

The spelling of 486820096 in words is "four hundred eighty-six million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 197 224 256 392 394 448 784 788 896 1379 1568 1576 1792 2758 3136 3152 5516 6272 6304 9653 11032 12544 12608 19306 22064 25216 38612 38809 44128 50432 77224 77618 88256 154448 155236 176512 271663 308896 310472 353024 543326 617792 620944 1086652 1235584 1241888 1901641 2173304 2471168 2483776 3803282 4346608 4967552 7606564 8693216 9935104 15213128 17386432 30426256 34772864 60852512 69545728 121705024 243410048 486820096