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285575472 = 2432713193137
BaseRepresentation
bin10001000001011…
…000100100110000
3201220100201220100
4101001120210300
51041101403342
644200512400
710035231360
oct2101304460
9656321810
10285575472
11137222096
127b77b700
134721a390
1429cda9a0
151a10ee4c
hex11058930

285575472 has 480 divisors, whose sum is σ = 1097707520. Its totient is φ = 67184640.

The previous prime is 285575471. The next prime is 285575497. The reversal of 285575472 is 274575582.

285575472 is a `hidden beast` number, since 2 + 8 + 5 + 575 + 4 + 72 = 666.

Its product of digits (784000) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (285575471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7718238 + ... + 7718274.

Almost surely, 2285575472 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 285575472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548853760).

285575472 is an abundant number, since it is smaller than the sum of its proper divisors (812132048).

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

285575472 is a wasteful number, since it uses less digits than its factorization.

285575472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its digits is 784000, while the sum is 45.

The square root of 285575472 is about 16898.9784306626. The cubic root of 285575472 is about 658.5270734316.

The spelling of 285575472 in words is "two hundred eighty-five million, five hundred seventy-five thousand, four hundred seventy-two".