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485996992 = 261323109233
BaseRepresentation
bin11100111101111…
…011100111000000
31020212111012112121
4130331323213000
51443403400432
6120120334024
715020622565
oct3475734700
91225435477
10485996992
1122a372808
12116914314
13798c14b0
144878c86c
152c9ee197
hex1cf7b9c0

485996992 has 112 divisors (see below), whose sum is σ = 1098377280. Its totient is φ = 211673088.

The previous prime is 485996981. The next prime is 485997011. The reversal of 485996992 is 299699584.

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 485996992.

It is a congruent number.

It is an unprimeable number.

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, 2085708 + ... + 2085940.

It is an arithmetic number, because the mean of its divisors is an integer number (9806940).

Almost surely, 2485996992 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 485996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549188640).

485996992 is an abundant number, since it is smaller than the sum of its proper divisors (612380288).

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

485996992 is a wasteful number, since it uses less digits than its factorization.

485996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 61.

The square root of 485996992 is about 22045.3394621176. The cubic root of 485996992 is about 786.2207962037.

The spelling of 485996992 in words is "four hundred eighty-five million, nine hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 109 184 208 218 233 299 368 416 436 466 598 736 832 872 932 1196 1417 1472 1744 1864 2392 2507 2834 3029 3488 3728 4784 5014 5359 5668 6058 6976 7456 9568 10028 10718 11336 12116 14912 19136 20056 21436 22672 24232 25397 32591 40112 42872 45344 48464 50794 65182 69667 80224 85744 90688 96928 101588 130364 139334 160448 171488 193856 203176 260728 278668 330161 342976 406352 521456 557336 584131 660322 812704 1042912 1114672 1168262 1320644 1625408 2085824 2229344 2336524 2641288 4458688 4673048 5282576 7593703 9346096 10565152 15187406 18692192 21130304 30374812 37384384 60749624 121499248 242998496 485996992