Search a number
-
+
28021644 = 223271731211
BaseRepresentation
bin110101011100…
…1001110001100
31221201122110200
41222321032030
524133143034
62440333500
7460115520
oct152711614
957648420
1028021644
11148aa092
129474290
135a61671
143a15d80
1526d7a99
hex1ab938c

28021644 has 144 divisors (see below), whose sum is σ = 88897536. Its totient is φ = 7257600.

The previous prime is 28021639. The next prime is 28021657. The reversal of 28021644 is 44612082.

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 47 ways as a sum of consecutive naturals, for example, 132699 + ... + 132909.

It is an arithmetic number, because the mean of its divisors is an integer number (617344).

Almost surely, 228021644 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 28021644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44448768).

28021644 is an abundant number, since it is smaller than the sum of its proper divisors (60875892).

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

28021644 is a wasteful number, since it uses less digits than its factorization.

28021644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 28021644 is about 5293.5473928170. The cubic root of 28021644 is about 303.7371198115.

The spelling of 28021644 in words is "twenty-eight million, twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 211 217 238 252 279 306 357 372 422 434 476 527 558 612 633 651 714 844 868 1054 1071 1116 1266 1302 1428 1477 1581 1899 1953 2108 2142 2532 2604 2954 3162 3587 3689 3798 3906 4284 4431 4743 5908 6324 6541 7174 7378 7596 7812 8862 9486 10761 11067 13082 13293 14348 14756 17724 18972 19623 21522 22134 25109 26164 26586 32283 33201 39246 43044 44268 45787 50218 53172 58869 64566 66402 75327 78492 91574 100436 111197 117738 129132 132804 137361 150654 183148 222394 225981 235476 274722 301308 333591 412083 444788 451962 549444 667182 778379 824166 903924 1000773 1334364 1556758 1648332 2001546 2335137 3113516 4003092 4670274 7005411 9340548 14010822 28021644