Search a number
-
+
28253000 = 2353191487
BaseRepresentation
bin110101111000…
…1101101001000
31222011101211102
41223301231020
524213044000
62445320532
7462101156
oct153615510
958141742
1028253000
1114a47996
129566148
135b12a69
143a763d6
1527313d5
hex1af1b48

28253000 has 64 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 10699200.

The previous prime is 28252979. The next prime is 28253011. The reversal of 28253000 is 35282.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18257 + ... + 19743.

It is an arithmetic number, because the mean of its divisors is an integer number (1088100).

Almost surely, 228253000 is an apocalyptic number.

28253000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28253000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

28253000 is an abundant number, since it is smaller than the sum of its proper divisors (41385400).

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

28253000 is a wasteful number, since it uses less digits than its factorization.

28253000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 28253000 is about 5315.3551151358. The cubic root of 28253000 is about 304.5707479482.

Adding to 28253000 its reverse (35282), we get a palindrome (28288282).

The spelling of 28253000 in words is "twenty-eight million, two hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1487 1900 2375 2974 3800 4750 5948 7435 9500 11896 14870 19000 28253 29740 37175 56506 59480 74350 113012 141265 148700 185875 226024 282530 297400 371750 565060 706325 743500 1130120 1412650 1487000 2825300 3531625 5650600 7063250 14126500 28253000