Search a number
-
+
28426400 = 255235533
BaseRepresentation
bin110110001110…
…0000010100000
31222111012200122
41230130002200
524234121100
62453135412
7463422542
oct154340240
958435618
1028426400
11150561a2
12962a568
135b73972
143abd692
152767985
hex1b1c0a0

28426400 has 36 divisors (see below), whose sum is σ = 69397902. Its totient is φ = 11370240.

The previous prime is 28426381. The next prime is 28426403. The reversal of 28426400 is 462482.

It can be written as a sum of positive squares in 3 ways, for example, as 13278736 + 15147664 = 3644^2 + 3892^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28426400.

It is not an unprimeable number, because it can be changed into a prime (28426403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16967 + ... + 18566.

Almost surely, 228426400 is an apocalyptic number.

28426400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28426400 is an abundant number, since it is smaller than the sum of its proper divisors (40971502).

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

28426400 is a wasteful number, since it uses less digits than its factorization.

28426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35553 (or 35540 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 28426400 is about 5331.6413982938. The cubic root of 28426400 is about 305.1925685291.

Adding to 28426400 its reverse (462482), we get a palindrome (28888882).

The spelling of 28426400 in words is "twenty-eight million, four hundred twenty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 35533 71066 142132 177665 284264 355330 568528 710660 888325 1137056 1421320 1776650 2842640 3553300 5685280 7106600 14213200 28426400