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380805728 = 25291972083
BaseRepresentation
bin10110101100101…
…010001001100000
3222112112221020212
4112230222021200
51234441240403
6101441553252
712302536532
oct2654521140
9875487225
10380805728
11185a55a86
12a7645828
1360b80b44
1438809852
15236714d8
hex16b2a260

380805728 has 48 divisors (see below), whose sum is σ = 779874480. Its totient is φ = 182816256.

The previous prime is 380805713. The next prime is 380805749. The reversal of 380805728 is 827508083.

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, 181775 + ... + 183857.

It is an arithmetic number, because the mean of its divisors is an integer number (16247385).

Almost surely, 2380805728 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 380805728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389937240).

380805728 is an abundant number, since it is smaller than the sum of its proper divisors (399068752).

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

380805728 is a wasteful number, since it uses less digits than its factorization.

380805728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 380805728 is about 19514.2442333799. The cubic root of 380805728 is about 724.8272139964.

The spelling of 380805728 in words is "three hundred eighty million, eight hundred five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 197 232 394 464 788 928 1576 2083 3152 4166 5713 6304 8332 11426 16664 22852 33328 45704 60407 66656 91408 120814 182816 241628 410351 483256 820702 966512 1641404 1933024 3282808 6565616 11900179 13131232 23800358 47600716 95201432 190402864 380805728