[go: up one dir, main page]

Search a number
-
+
28145208 = 2337313263
BaseRepresentation
bin110101101011…
…1011000111000
31221221220222010
41223113120320
524201121313
62443125520
7461142000
oct153273070
957856863
1028145208
1114983a03
1295138a0
135aa5990
143a49000
15270e4c3
hex1ad7638

28145208 has 128 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 7394688.

The previous prime is 28145207. The next prime is 28145209. The reversal of 28145208 is 80254182.

It is an interprime number because it is at equal distance from previous prime (28145207) and next prime (28145209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28145203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106885 + ... + 107147.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 228145208 is an apocalyptic number.

28145208 is a gapful number since it is divisible by the number (28) 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 28145208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

28145208 is an abundant number, since it is smaller than the sum of its proper divisors (60558792).

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

28145208 is a wasteful number, since it uses less digits than its factorization.

28145208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 28145208 is about 5305.2057453034. The cubic root of 28145208 is about 304.1829173862.

The spelling of 28145208 in words is "twenty-eight million, one hundred forty-five thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 263 273 294 312 343 364 392 526 546 588 637 686 728 789 1029 1052 1092 1176 1274 1372 1578 1841 1911 2058 2104 2184 2548 2744 3156 3419 3682 3822 4116 4459 5096 5523 6312 6838 7364 7644 8232 8918 10257 11046 12887 13377 13676 14728 15288 17836 20514 22092 23933 25774 26754 27352 35672 38661 41028 44184 47866 51548 53508 71799 77322 82056 90209 95732 103096 107016 143598 154644 167531 180418 191464 270627 287196 309288 335062 360836 502593 541254 574392 670124 721672 1005186 1082508 1172717 1340248 2010372 2165016 2345434 3518151 4020744 4690868 7036302 9381736 14072604 28145208