[go: up one dir, main page]

Search a number
-
+
2553296 = 241937227
BaseRepresentation
bin1001101111010111010000
311210201110112
421233113100
51123201141
6130420452
730463004
oct11572720
94721415
102553296
111494369
12a31728
136b5235
144a6704
153567eb
hex26f5d0

2553296 has 40 divisors (see below), whose sum is σ = 5371680. Its totient is φ = 1171584.

The previous prime is 2553293. The next prime is 2553301. The reversal of 2553296 is 6923552.

It is a d-powerful number, because it can be written as 28 + 54 + 59 + 312 + 210 + 95 + 65 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11135 + ... + 11361.

It is an arithmetic number, because the mean of its divisors is an integer number (134292).

22553296 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 2553296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685840).

2553296 is an abundant number, since it is smaller than the sum of its proper divisors (2818384).

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

2553296 is a wasteful number, since it uses less digits than its factorization.

2553296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 2553296 is about 1597.9036266308. The cubic root of 2553296 is about 136.6785580241.

The spelling of 2553296 in words is "two million, five hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 227 296 304 454 592 703 908 1406 1816 2812 3632 4313 5624 8399 8626 11248 16798 17252 33596 34504 67192 69008 134384 159581 319162 638324 1276648 2553296