Search a number
-
+
28777824 = 253299923
BaseRepresentation
bin110110111000…
…1110101100000
32000011001202100
41231301311200
524331342244
62504450400
7466415235
oct155616540
960131670
1028777824
1115276229
129779a00
135c678ca
143b7178c
1527d6b69
hex1b71d60

28777824 has 36 divisors (see below), whose sum is σ = 81837756. Its totient is φ = 9592512.

The previous prime is 28777817. The next prime is 28777877. The reversal of 28777824 is 42877782.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28777824.

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 5 ways as a sum of consecutive naturals, for example, 49674 + ... + 50249.

It is an arithmetic number, because the mean of its divisors is an integer number (2273271).

Almost surely, 228777824 is an apocalyptic number.

28777824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

28777824 is an abundant number, since it is smaller than the sum of its proper divisors (53059932).

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

28777824 is a wasteful number, since it uses less digits than its factorization.

28777824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99939 (or 99928 counting only the distinct ones).

The product of its digits is 351232, while the sum is 45.

The square root of 28777824 is about 5364.4966213057. The cubic root of 28777824 is about 306.4450783206.

It can be divided in two parts, 2877 and 7824, that added together give a palindrome (10701).

The spelling of 28777824 in words is "twenty-eight million, seven hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 99923 199846 299769 399692 599538 799384 899307 1199076 1598768 1798614 2398152 3197536 3597228 4796304 7194456 9592608 14388912 28777824