Search a number
-
+
28517904 = 2432296829
BaseRepresentation
bin110110011001…
…0011000010000
31222122212012200
41230302120100
524300033104
62455123200
7464253402
oct154623020
958585180
1028517904
1115108a18
129673500
135ba64cc
143b04b72
152784b39
hex1b32610

28517904 has 60 divisors (see below), whose sum is σ = 82574700. Its totient is φ = 9176832.

The previous prime is 28517899. The next prime is 28517911. The reversal of 28517904 is 40971582.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 13307904 = 3900^2 + 3648^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 762 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (1376245).

Almost surely, 228517904 is an apocalyptic number.

28517904 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 28517904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41287350).

28517904 is an abundant number, since it is smaller than the sum of its proper divisors (54056796).

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

28517904 is a wasteful number, since it uses less digits than its factorization.

28517904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 28517904 is about 5340.2157259796. The cubic root of 28517904 is about 305.5196873281.

The spelling of 28517904 in words is "twenty-eight million, five hundred seventeen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 6829 13658 20487 27316 40974 54632 61461 81948 109264 122922 163896 198041 245844 327792 396082 491688 594123 792164 983376 1188246 1584328 1782369 2376492 3168656 3564738 4752984 7129476 9505968 14258952 28517904