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2825712 = 243331211
BaseRepresentation
bin1010110001110111110000
312022120011000
422301313300
51210410322
6140322000
733006141
oct12616760
95276130
102825712
11165aaaa
12b43300
1377c226
14537ac8
153ac3ac
hex2b1df0

2825712 has 80 divisors (see below), whose sum is σ = 8412160. Its totient is φ = 907200.

The previous prime is 2825701. The next prime is 2825741. The reversal of 2825712 is 2175282.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13287 + ... + 13497.

It is an arithmetic number, because the mean of its divisors is an integer number (105152).

22825712 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 2825712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206080).

2825712 is an abundant number, since it is smaller than the sum of its proper divisors (5586448).

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

2825712 is a wasteful number, since it uses less digits than its factorization.

2825712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2825712 is about 1680.9854252789. The cubic root of 2825712 is about 141.3760896707.

The spelling of 2825712 in words is "two million, eight hundred twenty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 211 216 248 279 372 422 432 496 558 633 744 837 844 1116 1266 1488 1674 1688 1899 2232 2532 3348 3376 3798 4464 5064 5697 6541 6696 7596 10128 11394 13082 13392 15192 19623 22788 26164 30384 39246 45576 52328 58869 78492 91152 104656 117738 156984 176607 235476 313968 353214 470952 706428 941904 1412856 2825712