Search a number
-
+
28231776 = 2532611607
BaseRepresentation
bin110101110110…
…0100001100000
31222010022201100
41223230201200
524211404101
62445034400
7461652246
oct153544140
958108640
1028231776
1114a32a51
129555a00
135b061c1
143a6c796
152729e86
hex1aec860

28231776 has 72 divisors (see below), whose sum is σ = 81651024. Its totient is φ = 9250560.

The previous prime is 28231769. The next prime is 28231817. The reversal of 28231776 is 67713282.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×282317762 = 1594066352228352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28231776.

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 11 ways as a sum of consecutive naturals, for example, 16765 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 228231776 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 28231776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

28231776 is an abundant number, since it is smaller than the sum of its proper divisors (53419248).

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

28231776 is a wasteful number, since it uses less digits than its factorization.

28231776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1673 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 28231776 is about 5313.3582600837. The cubic root of 28231776 is about 304.4944630829.

The spelling of 28231776 in words is "twenty-eight million, two hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1607 1952 2196 2928 3214 4392 4821 5856 6428 8784 9642 12856 14463 17568 19284 25712 28926 38568 51424 57852 77136 98027 115704 154272 196054 231408 294081 392108 462816 588162 784216 882243 1176324 1568432 1764486 2352648 3136864 3528972 4705296 7057944 9410592 14115888 28231776