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285016448 = 2789127197
BaseRepresentation
bin10000111111010…
…000000110000000
3201212022100001202
4100333100012000
51040431011243
644140520332
710030412513
oct2077200600
9655270052
10285016448
11136980092
127b5500a8
1347082ab2
1429bd2d7a
151a04e4b8
hex10fd0180

285016448 has 64 divisors (see below), whose sum is σ = 581644800. Its totient is φ = 139087872.

The previous prime is 285016423. The next prime is 285016469. The reversal of 285016448 is 844610582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1446686 + ... + 1446882.

It is an arithmetic number, because the mean of its divisors is an integer number (9088200).

Almost surely, 2285016448 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 285016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290822400).

285016448 is an abundant number, since it is smaller than the sum of its proper divisors (296628352).

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

285016448 is a wasteful number, since it uses less digits than its factorization.

285016448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 285016448 is about 16882.4301568228. The cubic root of 285016448 is about 658.0970961318.

The spelling of 285016448 in words is "two hundred eighty-five million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 127 128 178 197 254 356 394 508 712 788 1016 1424 1576 2032 2848 3152 4064 5696 6304 8128 11303 11392 12608 16256 17533 22606 25019 25216 35066 45212 50038 70132 90424 100076 140264 180848 200152 280528 361696 400304 561056 723392 800608 1122112 1446784 1601216 2226691 2244224 3202432 4453382 8906764 17813528 35627056 71254112 142508224 285016448