Search a number
-
+
28174536 = 23321331971
BaseRepresentation
bin110101101111…
…0100011001000
31222000102012100
41223132203020
524203041121
62443513400
7461323335
oct153364310
958012170
1028174536
11149a3a45
129528860
135ab6130
143a5598c
152718026
hex1ade8c8

28174536 has 96 divisors (see below), whose sum is σ = 84913920. Its totient is φ = 8380800.

The previous prime is 28174529. The next prime is 28174541. The reversal of 28174536 is 63547182.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28174536.

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 23 ways as a sum of consecutive naturals, for example, 28531 + ... + 29501.

It is an arithmetic number, because the mean of its divisors is an integer number (884520).

Almost surely, 228174536 is an apocalyptic number.

28174536 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 28174536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42456960).

28174536 is an abundant number, since it is smaller than the sum of its proper divisors (56739384).

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

28174536 is a wasteful number, since it uses less digits than its factorization.

28174536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 28174536 is about 5307.9691031505. The cubic root of 28174536 is about 304.2885360731.

The spelling of 28174536 in words is "twenty-eight million, one hundred seventy-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 971 1116 1209 1612 1942 2232 2418 2913 3224 3627 3884 4836 5826 7254 7768 8739 9672 11652 12623 14508 17478 23304 25246 29016 30101 34956 37869 50492 60202 69912 75738 90303 100984 113607 120404 151476 180606 227214 240808 270909 302952 361212 391313 454428 541818 722424 782626 908856 1083636 1173939 1565252 2167272 2347878 3130504 3521817 4695756 7043634 9391512 14087268 28174536