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287305056 = 2534199557
BaseRepresentation
bin10001000111111…
…110110101100000
3202000121121110000
4101013332311200
51042022230211
644301540000
710056024033
oct2107766540
9660547400
10287305056
111381a35a5
1280274600
13476a46bc
142a22b01a
151a352656
hex111fed60

287305056 has 120 divisors (see below), whose sum is σ = 850726800. Its totient is φ = 95116032.

The previous prime is 287305019. The next prime is 287305063. The reversal of 287305056 is 650503782.

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

It is a self number, because there is not a number n which added to its sum of digits gives 287305056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 515530 + ... + 516086.

It is an arithmetic number, because the mean of its divisors is an integer number (7089390).

Almost surely, 2287305056 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 287305056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425363400).

287305056 is an abundant number, since it is smaller than the sum of its proper divisors (563421744).

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

287305056 is a wasteful number, since it uses less digits than its factorization.

287305056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 287305056 is about 16950.0753980624. The cubic root of 287305056 is about 659.8538519374.

The spelling of 287305056 in words is "two hundred eighty-seven million, three hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 288 324 398 432 557 597 648 796 864 1114 1194 1296 1592 1671 1791 2228 2388 2592 3184 3342 3582 4456 4776 5013 5373 6368 6684 7164 8912 9552 10026 10746 13368 14328 15039 16119 17824 19104 20052 21492 26736 28656 30078 32238 40104 42984 45117 53472 57312 60156 64476 80208 85968 90234 110843 120312 128952 160416 171936 180468 221686 240624 257904 332529 360936 443372 481248 515808 665058 721872 886744 997587 1330116 1443744 1773488 1995174 2660232 2992761 3546976 3990348 5320464 5985522 7980696 8978283 10640928 11971044 15961392 17956566 23942088 31922784 35913132 47884176 71826264 95768352 143652528 287305056