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2575296 = 263217263
BaseRepresentation
bin1001110100101111000000
311211211122100
421310233000
51124402141
6131110400
730614103
oct11645700
94754570
102575296
1114a9949
12a42400
136c2259
144b073a
1535d0b6
hex274bc0

2575296 has 84 divisors (see below), whose sum is σ = 7845552. Its totient is φ = 804864.

The previous prime is 2575289. The next prime is 2575297. The reversal of 2575296 is 6925752.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 212 + 58 + 76 + 59 + 212 + 95 + 66 .

It is a self number, because there is not a number n which added to its sum of digits gives 2575296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9661 + ... + 9923.

22575296 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 2575296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776).

2575296 is an abundant number, since it is smaller than the sum of its proper divisors (5270256).

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

2575296 is a wasteful number, since it uses less digits than its factorization.

2575296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 2575296 is about 1604.7728811268. The cubic root of 2575296 is about 137.0699910539.

The spelling of 2575296 in words is "two million, five hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 263 272 288 306 408 526 544 576 612 789 816 1052 1088 1224 1578 1632 2104 2367 2448 3156 3264 4208 4471 4734 4896 6312 8416 8942 9468 9792 12624 13413 16832 17884 18936 25248 26826 35768 37872 40239 50496 53652 71536 75744 80478 107304 143072 151488 160956 214608 286144 321912 429216 643824 858432 1287648 2575296