[go: up one dir, main page]

Search a number
-
+
28127904 = 2537192203
BaseRepresentation
bin110101101001…
…1001010100000
31221221001020020
41223103022200
524200043104
62442513440
7461040360
oct153231240
957831206
1028127904
1114971a02
129505880
135a9ab3c
143a429a0
1527092d9
hex1ad32a0

28127904 has 96 divisors (see below), whose sum is σ = 88865280. Its totient is φ = 7610112.

The previous prime is 28127899. The next prime is 28127909. The reversal of 28127904 is 40972182.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28127899) and next prime (28127909).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (28127909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11667 + ... + 13869.

It is an arithmetic number, because the mean of its divisors is an integer number (925680).

Almost surely, 228127904 is an apocalyptic number.

28127904 is a gapful number since it is divisible by the number (24) 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 28127904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44432640).

28127904 is an abundant number, since it is smaller than the sum of its proper divisors (60737376).

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

28127904 is a wasteful number, since it uses less digits than its factorization.

28127904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 28127904 is about 5303.5746435777. The cubic root of 28127904 is about 304.1205662123.

The spelling of 28127904 in words is "twenty-eight million, one hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 2203 3192 4256 4406 6384 6609 8812 12768 13218 15421 17624 26436 30842 35248 41857 46263 52872 61684 70496 83714 92526 105744 123368 125571 167428 185052 211488 246736 251142 292999 334856 370104 493472 502284 585998 669712 740208 878997 1004568 1171996 1339424 1480416 1757994 2009136 2343992 3515988 4018272 4687984 7031976 9375968 14063952 28127904