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28293800 = 2352193733
BaseRepresentation
bin110101111101…
…1101010101000
31222020110210112
41223323222220
524220400200
62450233452
7462331133
oct153735250
958213715
1028293800
1114a75607
129585888
135b284c2
143a8721a
15273d535
hex1afbaa8

28293800 has 48 divisors (see below), whose sum is σ = 66214140. Its totient is φ = 11243520.

The previous prime is 28293781. The next prime is 28293823. The reversal of 28293800 is 839282.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15319396 + 12974404 = 3914^2 + 3602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38234 + ... + 38966.

Almost surely, 228293800 is an apocalyptic number.

28293800 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 28293800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33107070).

28293800 is an abundant number, since it is smaller than the sum of its proper divisors (37920340).

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

28293800 is a wasteful number, since it uses less digits than its factorization.

28293800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 28293800 is about 5319.1916679135. The cubic root of 28293800 is about 304.7172870725.

The spelling of 28293800 in words is "twenty-eight million, two hundred ninety-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 733 772 965 1466 1544 1930 2932 3665 3860 4825 5864 7330 7720 9650 14660 18325 19300 29320 36650 38600 73300 141469 146600 282938 565876 707345 1131752 1414690 2829380 3536725 5658760 7073450 14146900 28293800