[go: up one dir, main page]

Search a number
-
+
28226352 = 24372111091
BaseRepresentation
bin110101110101…
…1001100110000
31222010001021110
41223223030300
524211220402
62444553320
7461630400
oct153531460
958101243
1028226352
1114a29970
129552840
135b038ab
143a6a800
15272856c
hex1aeb330

28226352 has 120 divisors (see below), whose sum is σ = 92619072. Its totient is φ = 7324800.

The previous prime is 28226351. The next prime is 28226353. The reversal of 28226352 is 25362282.

It is an interprime number because it is at equal distance from previous prime (28226351) and next prime (28226353).

It is not an unprimeable number, because it can be changed into a prime (28226351) by changing a digit.

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, 25327 + ... + 26417.

Almost surely, 228226352 is an apocalyptic number.

28226352 is a gapful number since it is divisible by the number (22) 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 28226352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46309536).

28226352 is an abundant number, since it is smaller than the sum of its proper divisors (64392720).

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

28226352 is a wasteful number, since it uses less digits than its factorization.

28226352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1114 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 28226352 is about 5312.8478239076. The cubic root of 28226352 is about 304.4749616088.

The spelling of 28226352 in words is "twenty-eight million, two hundred twenty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1091 1176 1232 1617 1848 2156 2182 2352 3234 3273 3696 4312 4364 6468 6546 7637 8624 8728 12001 12936 13092 15274 17456 22911 24002 25872 26184 30548 36003 45822 48004 52368 53459 61096 72006 84007 91644 96008 106918 122192 144012 160377 168014 183288 192016 213836 252021 288024 320754 336028 366576 427672 504042 576048 588049 641508 672056 855344 1008084 1176098 1283016 1344112 1764147 2016168 2352196 2566032 3528294 4032336 4704392 7056588 9408784 14113176 28226352