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285028352 = 21279941
BaseRepresentation
bin10000111111010…
…011000000000000
3201212022221101122
4100333103000000
51040431401402
644141051412
710030462310
oct2077230000
9655287348
10285028352
11136989024
127b556b68
134708833b
1429bd7440
151a052ca2
hex10fd3000

285028352 has 52 divisors (see below), whose sum is σ = 651479376. Its totient is φ = 122142720.

The previous prime is 285028277. The next prime is 285028357. The reversal of 285028352 is 253820582.

It is a super-2 number, since 2×2850283522 = 162482322887671808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285028357) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23702 + ... + 33642.

Almost surely, 2285028352 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 285028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325739688).

285028352 is an abundant number, since it is smaller than the sum of its proper divisors (366451024).

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

285028352 is an frugal number, since it uses more digits than its factorization.

285028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 285028352 is about 16882.7827090205. The cubic root of 285028352 is about 658.1062580344.

The spelling of 285028352 in words is "two hundred eighty-five million, twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 9941 14336 19882 28672 39764 69587 79528 139174 159056 278348 318112 556696 636224 1113392 1272448 2226784 2544896 4453568 5089792 8907136 10179584 17814272 20359168 35628544 40718336 71257088 142514176 285028352