Search a number
-
+
55280128 = 291011069
BaseRepresentation
bin1101001011100…
…0001000000000
310212000112002011
43102320020000
5103122431003
65252502304
71240605361
oct322701000
9125015064
1055280128
1129227862
121661a994
13b5b6847
1474adb68
154cbe46d
hex34b8200

55280128 has 40 divisors (see below), whose sum is σ = 111650220. Its totient is φ = 27340800.

The previous prime is 55280123. The next prime is 55280129. The reversal of 55280128 is 82108255.

It can be written as a sum of positive squares in 2 ways, for example, as 51151104 + 4129024 = 7152^2 + 2032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55280128.

It is not an unprimeable number, because it can be changed into a prime (55280123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51178 + ... + 52246.

Almost surely, 255280128 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 55280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55825110).

55280128 is an abundant number, since it is smaller than the sum of its proper divisors (56370092).

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

55280128 is a wasteful number, since it uses less digits than its factorization.

55280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 55280128 is about 7435.0607260466. The cubic root of 55280128 is about 380.9397975526.

The spelling of 55280128 in words is "fifty-five million, two hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 512 808 1069 1616 2138 3232 4276 6464 8552 12928 17104 25856 34208 51712 68416 107969 136832 215938 273664 431876 547328 863752 1727504 3455008 6910016 13820032 27640064 55280128