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285104448 = 2634431279
BaseRepresentation
bin10000111111100…
…101100101000000
3201212110210210000
4100333211211000
51040441320243
644142440000
710031230206
oct2077454500
9655423700
10285104448
11136a30212
127b593000
13470b3b75
1429c17076
151a06a5d3
hex10fe5940

285104448 has 140 divisors (see below), whose sum is σ = 865469440. Its totient is φ = 92752128.

The previous prime is 285104431. The next prime is 285104473. The reversal of 285104448 is 844401582.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 222273 + ... + 223551.

Almost surely, 2285104448 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 285104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432734720).

285104448 is an abundant number, since it is smaller than the sum of its proper divisors (580364992).

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

285104448 is a wasteful number, since it uses less digits than its factorization.

285104448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 285104448 is about 16885.0362155371. The cubic root of 285104448 is about 658.1648192237.

The spelling of 285104448 in words is "two hundred eighty-five million, one hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1279 1296 1376 1548 1728 2064 2322 2558 2592 2752 3096 3483 3837 4128 4644 5116 5184 6192 6966 7674 8256 9288 10232 11511 12384 13932 15348 18576 20464 23022 24768 27864 30696 34533 37152 40928 46044 54997 55728 61392 69066 74304 81856 92088 103599 109994 111456 122784 138132 164991 184176 207198 219988 222912 245568 276264 329982 368352 414396 439976 494973 552528 659964 736704 828792 879952 989946 1105056 1319928 1484919 1657584 1759904 1979892 2210112 2639856 2969838 3315168 3519808 3959784 4454757 5279712 5939676 6630336 7919568 8909514 10559424 11879352 15839136 17819028 23758704 31678272 35638056 47517408 71276112 95034816 142552224 285104448