Search a number
-
+
2825376 = 253191549
BaseRepresentation
bin1010110001110010100000
312022112200120
422301302200
51210403001
6140320240
733005151
oct12616240
95275616
102825376
11165a824
12b43080
1377c028
14537928
153ac236
hex2b1ca0

2825376 has 48 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 891648.

The previous prime is 2825363. The next prime is 2825387. The reversal of 2825376 is 6735282.

It is a tau number, because it is divible by the number of its divisors (48).

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, 1050 + ... + 2598.

It is an arithmetic number, because the mean of its divisors is an integer number (162750).

22825376 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 2825376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000).

2825376 is an abundant number, since it is smaller than the sum of its proper divisors (4986624).

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

2825376 is a wasteful number, since it uses less digits than its factorization.

2825376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1573 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2825376 is about 1680.8854809296. The cubic root of 2825376 is about 141.3704858619.

The spelling of 2825376 in words is "two million, eight hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1549 1824 3098 4647 6196 9294 12392 18588 24784 29431 37176 49568 58862 74352 88293 117724 148704 176586 235448 353172 470896 706344 941792 1412688 2825376