Search a number
-
+
28217840 = 2457411229
BaseRepresentation
bin110101110100…
…1000111110000
31222002121121012
41223221013300
524210432330
62444450052
7461563520
oct153510760
958077535
1028217840
1114a23532
129549928
135acca61
143a67680
152725c95
hex1ae91f0

28217840 has 80 divisors (see below), whose sum is σ = 76870080. Its totient is φ = 9431040.

The previous prime is 28217837. The next prime is 28217851. The reversal of 28217840 is 4871282.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 28217797 and 28217806.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22346 + ... + 23574.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 228217840 is an apocalyptic number.

28217840 is a gapful number since it is divisible by the number (20) 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 28217840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38435040).

28217840 is an abundant number, since it is smaller than the sum of its proper divisors (48652240).

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

28217840 is a wasteful number, since it uses less digits than its factorization.

28217840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 28217840 is about 5312.0466865418. The cubic root of 28217840 is about 304.4443524882. Note that the first 3 decimals are identical.

The spelling of 28217840 in words is "twenty-eight million, two hundred seventeen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1229 1435 1640 2296 2458 2870 3280 4592 4916 5740 6145 8603 9832 11480 12290 17206 19664 22960 24580 34412 43015 49160 50389 68824 86030 98320 100778 137648 172060 201556 251945 344120 352723 403112 503890 688240 705446 806224 1007780 1410892 1763615 2015560 2821784 3527230 4031120 5643568 7054460 14108920 28217840