Search a number
-
+
28257536 = 281743151
BaseRepresentation
bin110101111001…
…0110100000000
31222011122001102
41223302310000
524213220121
62445353532
7462120326
oct153626400
958148042
1028257536
1114a5033a
1295688a8
135b14b48
143a77d16
15273290b
hex1af2d00

28257536 has 72 divisors (see below), whose sum is σ = 61516224. Its totient is φ = 12902400.

The previous prime is 28257527. The next prime is 28257557. The reversal of 28257536 is 63575282.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 28257536.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187061 + ... + 187211.

It is an arithmetic number, because the mean of its divisors is an integer number (854392).

Almost surely, 228257536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28257536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758112).

28257536 is an abundant number, since it is smaller than the sum of its proper divisors (33258688).

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

28257536 is a wasteful number, since it uses less digits than its factorization.

28257536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 28257536 is about 5315.7817863415. The cubic root of 28257536 is about 304.5870466184.

The spelling of 28257536 in words is "twenty-eight million, two hundred fifty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 43 64 68 86 128 136 151 172 256 272 302 344 544 604 688 731 1088 1208 1376 1462 2176 2416 2567 2752 2924 4352 4832 5134 5504 5848 6493 9664 10268 11008 11696 12986 19328 20536 23392 25972 38656 41072 46784 51944 82144 93568 103888 110381 164288 187136 207776 220762 328576 415552 441524 657152 831104 883048 1662208 1766096 3532192 7064384 14128768 28257536