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286537056 = 25313439523
BaseRepresentation
bin10001000101000…
…011010101100000
3201222011120221120
4101011003111200
51041323141211
644233252240
710046345001
oct2105032540
9658146846
10286537056
11137819593
127bb64080
1347495c70
142a0ab1a8
151a24ed06
hex11143560

286537056 has 96 divisors (see below), whose sum is σ = 813415680. Its totient is φ = 87796224.

The previous prime is 286537049. The next prime is 286537063. The reversal of 286537056 is 650735682.

It is an interprime number because it is at equal distance from previous prime (286537049) and next prime (286537063).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2865370562 = 164206968922294272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286536999 and 286537017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547611 + ... + 548133.

It is an arithmetic number, because the mean of its divisors is an integer number (8473080).

Almost surely, 2286537056 is an apocalyptic number.

286537056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286537056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406707840).

286537056 is an abundant number, since it is smaller than the sum of its proper divisors (526878624).

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

286537056 is a wasteful number, since it uses less digits than its factorization.

286537056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 286537056 is about 16927.4054716014. The cubic root of 286537056 is about 659.2653717729.

The spelling of 286537056 in words is "two hundred eighty-six million, five hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 439 523 624 878 1046 1248 1317 1569 1756 2092 2634 3138 3512 4184 5268 5707 6276 6799 7024 8368 10536 11414 12552 13598 14048 16736 17121 20397 21072 22828 25104 27196 34242 40794 42144 45656 50208 54392 68484 81588 91312 108784 136968 163176 182624 217568 229597 273936 326352 459194 547872 652704 688791 918388 1377582 1836776 2755164 2984761 3673552 5510328 5969522 7347104 8954283 11020656 11939044 17908566 22041312 23878088 35817132 47756176 71634264 95512352 143268528 286537056