Search a number
-
+
28025844 = 2237311619
BaseRepresentation
bin110101011101…
…0001111110100
31221201212020020
41222322033310
524133311334
62440405140
7460134000
oct152721764
957655206
1028025844
1114902260
1294767b0
135a63552
143a17700
1526d8e49
hex1aba3f4

28025844 has 96 divisors (see below), whose sum is σ = 83328000. Its totient is φ = 7267680.

The previous prime is 28025839. The next prime is 28025849. The reversal of 28025844 is 44852082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28025839) and next prime (28025849).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28025849) 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, 44967 + ... + 45585.

It is an arithmetic number, because the mean of its divisors is an integer number (868000).

Almost surely, 228025844 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 28025844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664000).

28025844 is an abundant number, since it is smaller than the sum of its proper divisors (55302156).

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

28025844 is a wasteful number, since it uses less digits than its factorization.

28025844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 28025844 is about 5293.9440873511. The cubic root of 28025844 is about 303.7522941790.

It can be divided in two parts, 2802 and 5844, that added together give a triangular number (8646 = T131).

The spelling of 28025844 in words is "twenty-eight million, twenty-five thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 619 686 924 1029 1078 1238 1372 1617 1857 2058 2156 2476 3234 3714 3773 4116 4333 6468 6809 7428 7546 8666 11319 12999 13618 15092 17332 20427 22638 25998 27236 30331 40854 45276 47663 51996 60662 81708 90993 95326 121324 142989 181986 190652 212317 285978 333641 363972 424634 571956 636951 667282 849268 1000923 1273902 1334564 2001846 2335487 2547804 4003692 4670974 7006461 9341948 14012922 28025844