Search a number
-
+
4255776 = 253272111
BaseRepresentation
bin10000001111000000100000
322000012211100
4100033000200
52042141101
6231114400
751113340
oct20170040
98005740
104255776
112447478
121512a00
13b60115
147cad20
15590e86
hex40f020

4255776 has 72 divisors (see below), whose sum is σ = 13837824. Its totient is φ = 1215360.

The previous prime is 4255751. The next prime is 4255781. The reversal of 4255776 is 6775524.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42557762 = 36223258724352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4255776.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 961 + ... + 3071.

It is an arithmetic number, because the mean of its divisors is an integer number (192192).

Almost surely, 24255776 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 4255776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918912).

4255776 is an abundant number, since it is smaller than the sum of its proper divisors (9582048).

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

4255776 is a wasteful number, since it uses less digits than its factorization.

4255776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2123 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 4255776 is about 2062.9532229307. The cubic root of 4255776 is about 162.0539372296.

The spelling of 4255776 in words is "four million, two hundred fifty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2111 4222 6333 8444 12666 14777 16888 18999 25332 29554 33776 37998 44331 50664 59108 67552 75996 88662 101328 118216 132993 151992 177324 202656 236432 265986 303984 354648 472864 531972 607968 709296 1063944 1418592 2127888 4255776