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285768704 = 2101321467
BaseRepresentation
bin10001000010000…
…111110000000000
3201220201112222002
4101002013300000
51041124044304
644205003132
710036664624
oct2102076000
9656645862
10285768704
11137344291
127b8534a8
1347287310
1429d4b184
151a14c31e
hex11087c00

285768704 has 44 divisors (see below), whose sum is σ = 615229944. Its totient is φ = 131887104.

The previous prime is 285768701. The next prime is 285768737. The reversal of 285768704 is 407867582.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285768701) 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, 2579 + ... + 24045.

Almost surely, 2285768704 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 285768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307614972).

285768704 is an abundant number, since it is smaller than the sum of its proper divisors (329461240).

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

285768704 is a wasteful number, since it uses less digits than its factorization.

285768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21500 (or 21482 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The square root of 285768704 is about 16904.6947325292. The cubic root of 285768704 is about 658.6755686938.

The spelling of 285768704 in words is "two hundred eighty-five million, seven hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 3328 6656 13312 21467 42934 85868 171736 279071 343472 558142 686944 1116284 1373888 2232568 2747776 4465136 5495552 8930272 10991104 17860544 21982208 35721088 71442176 142884352 285768704