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285404416 = 2811432357
BaseRepresentation
bin10001000000101…
…110110100000000
3201220001001020221
4101000232310000
51041030420131
644153112424
710033616563
oct2100566400
9656031227
10285404416
11137115620
127b6b8714
134718a56b
1429c944da
151a0c9411
hex1102ed00

285404416 has 72 divisors (see below), whose sum is σ = 636207264. Its totient is φ = 126658560.

The previous prime is 285404393. The next prime is 285404429. The reversal of 285404416 is 614404582.

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, 119910 + ... + 122266.

It is an arithmetic number, because the mean of its divisors is an integer number (8836212).

Almost surely, 2285404416 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 285404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318103632).

285404416 is an abundant number, since it is smaller than the sum of its proper divisors (350802848).

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

285404416 is a wasteful number, since it uses less digits than its factorization.

285404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 285404416 is about 16893.9165382098. The cubic root of 285404416 is about 658.3955641150.

Adding to 285404416 its reverse (614404582), we get a palindrome (899808998).

The spelling of 285404416 in words is "two hundred eighty-five million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 473 688 704 946 1376 1408 1892 2357 2752 2816 3784 4714 5504 7568 9428 11008 15136 18856 25927 30272 37712 51854 60544 75424 101351 103708 121088 150848 202702 207416 301696 405404 414832 603392 810808 829664 1114861 1621616 1659328 2229722 3243232 3318656 4459444 6486464 6637312 8918888 12972928 17837776 25945856 35675552 71351104 142702208 285404416