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285806416 = 24721073407
BaseRepresentation
bin10001000010010…
…000111101010000
3201220210110200211
4101002100331100
51041131301131
644205453504
710040212600
oct2102207520
9656713624
10285806416
1113736a655
127b871294
134729b52c
1429d5ac00
151a1585b1
hex11090f50

285806416 has 60 divisors (see below), whose sum is σ = 650369088. Its totient is φ = 121308096.

The previous prime is 285806383. The next prime is 285806419. The reversal of 285806416 is 614608582.

285806416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285806419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82185 + ... + 85591.

Almost surely, 2285806416 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 285806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325184544).

285806416 is an abundant number, since it is smaller than the sum of its proper divisors (364562672).

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

285806416 is a wasteful number, since it uses less digits than its factorization.

285806416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3536 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 285806416 is about 16905.8101255160. The cubic root of 285806416 is about 658.7045418693.

The spelling of 285806416 in words is "two hundred eighty-five million, eight hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 196 214 392 428 749 784 856 1498 1712 2996 3407 5243 5992 6814 10486 11984 13628 20972 23849 27256 41944 47698 54512 83888 95396 166943 190792 333886 364549 381584 667772 729098 1335544 1458196 2551843 2671088 2916392 5103686 5832784 10207372 17862901 20414744 35725802 40829488 71451604 142903208 285806416