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2455296 = 28323139
BaseRepresentation
bin1001010111011100000000
311121202000220
421113130000
51112032141
6124343040
726604204
oct11273400
94552026
102455296
111427778
129a4a80
1367c74c
1447cb04
15337766
hex257700

2455296 has 72 divisors (see below), whose sum is σ = 6867840. Its totient is φ = 777216.

The previous prime is 2455279. The next prime is 2455303. The reversal of 2455296 is 6925542.

It is a zygodrome in base 15.

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, 17595 + ... + 17733.

22455296 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 2455296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920).

2455296 is an abundant number, since it is smaller than the sum of its proper divisors (4412544).

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

2455296 is a wasteful number, since it uses less digits than its factorization.

2455296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 2455296 is about 1566.9384161479. The cubic root of 2455296 is about 134.9070416295.

It can be divided in two parts, 24 and 55296, that multiplied together give a square (1327104 = 11522).

The spelling of 2455296 in words is "two million, four hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 139 184 192 256 276 278 368 384 417 552 556 736 768 834 1104 1112 1472 1668 2208 2224 2944 3197 3336 4416 4448 5888 6394 6672 8832 8896 9591 12788 13344 17664 17792 19182 25576 26688 35584 38364 51152 53376 76728 102304 106752 153456 204608 306912 409216 613824 818432 1227648 2455296