Search a number
-
+
2254928 = 241337293
BaseRepresentation
bin1000100110100001010000
311020120011212
420212201100
51034124203
6120155252
725111064
oct10464120
94216155
102254928
111300185
12908b28
1360c4a0
14429aa4
152e81d8
hex226850

2254928 has 40 divisors (see below), whose sum is σ = 4848648. Its totient is φ = 1009152.

The previous prime is 2254927. The next prime is 2254933. The reversal of 2254928 is 8294522.

2254928 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 1317904 = 968^2 + 1148^2 .

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2254894 and 2254903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7550 + ... + 7842.

22254928 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 2254928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424324).

2254928 is an abundant number, since it is smaller than the sum of its proper divisors (2593720).

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

2254928 is a wasteful number, since it uses less digits than its factorization.

2254928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 2254928 is about 1501.6417681991. The cubic root of 2254928 is about 131.1326667188.

The spelling of 2254928 in words is "two million, two hundred fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 293 296 481 586 592 962 1172 1924 2344 3809 3848 4688 7618 7696 10841 15236 21682 30472 43364 60944 86728 140933 173456 281866 563732 1127464 2254928