Search a number
-
+
28126176 = 2531331727
BaseRepresentation
bin110101101001…
…0101111100000
31221220221212020
41223102233200
524200014201
62442501440
7461032341
oct153225740
957827766
1028126176
1114970681
129504880
135a9a110
143a420c8
152708a36
hex1ad2be0

28126176 has 96 divisors (see below), whose sum is σ = 82188288. Its totient is φ = 8363520.

The previous prime is 28126159. The next prime is 28126181. The reversal of 28126176 is 67162182.

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

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, 38325 + ... + 39051.

It is an arithmetic number, because the mean of its divisors is an integer number (856128).

Almost surely, 228126176 is an apocalyptic number.

28126176 is a gapful number since it is divisible by the number (26) 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 28126176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41094144).

28126176 is an abundant number, since it is smaller than the sum of its proper divisors (54062112).

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

28126176 is a wasteful number, since it uses less digits than its factorization.

28126176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

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

The square root of 28126176 is about 5303.4117320834. The cubic root of 28126176 is about 304.1143383386.

The spelling of 28126176 in words is "twenty-eight million, one hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 727 744 806 992 1209 1248 1454 1488 1612 2181 2418 2908 2976 3224 4362 4836 5816 6448 8724 9451 9672 11632 12896 17448 18902 19344 22537 23264 28353 34896 37804 38688 45074 56706 67611 69792 75608 90148 113412 135222 151216 180296 226824 270444 292981 302432 360592 453648 540888 585962 721184 878943 907296 1081776 1171924 1757886 2163552 2343848 3515772 4687696 7031544 9375392 14063088 28126176