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28339040 = 255374787
BaseRepresentation
bin110110000011…
…0101101100000
31222022202212002
41230012231200
524223322130
62451223132
7462610052
oct154065540
958282762
1028339040
1114aa65a4
1295a7aa8
135b42c82
143a998d2
15274bb45
hex1b06b60

28339040 has 48 divisors (see below), whose sum is σ = 68774832. Its totient is φ = 11026944.

The previous prime is 28339037. The next prime is 28339067. The reversal of 28339040 is 4093382.

It is a cake number, because a cake can be divided into 28339040 parts by 554 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 28338994 and 28339012.

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 7 ways as a sum of consecutive naturals, for example, 3527 + ... + 8313.

It is an arithmetic number, because the mean of its divisors is an integer number (1432809).

Almost surely, 228339040 is an apocalyptic number.

28339040 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 28339040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34387416).

28339040 is an abundant number, since it is smaller than the sum of its proper divisors (40435792).

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

28339040 is a wasteful number, since it uses less digits than its factorization.

28339040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 28339040 is about 5323.4424952281. The cubic root of 28339040 is about 304.8796084910.

The spelling of 28339040 in words is "twenty-eight million, three hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 4787 5920 9574 19148 23935 38296 47870 76592 95740 153184 177119 191480 354238 382960 708476 765920 885595 1416952 1771190 2833904 3542380 5667808 7084760 14169520 28339040