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5890304 = 28719173
BaseRepresentation
bin10110011110000100000000
3102002020222102
4112132010000
53001442204
6330125532
7101031620
oct26360400
912066872
105890304
113363522
121b808a8
1312b30b4
14ad4880
157b541e
hex59e100

5890304 has 72 divisors (see below), whose sum is σ = 14226240. Its totient is φ = 2377728.

The previous prime is 5890303. The next prime is 5890307. The reversal of 5890304 is 4030985.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5890301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33962 + ... + 34134.

Almost surely, 25890304 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 5890304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7113120).

5890304 is an abundant number, since it is smaller than the sum of its proper divisors (8335936).

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

5890304 is a wasteful number, since it uses less digits than its factorization.

5890304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 5890304 is about 2426.9948496031. The cubic root of 5890304 is about 180.5978475167.

The spelling of 5890304 in words is "five million, eight hundred ninety thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 173 224 256 266 304 346 448 532 608 692 896 1064 1211 1216 1384 1792 2128 2422 2432 2768 3287 4256 4844 4864 5536 6574 8512 9688 11072 13148 17024 19376 22144 23009 26296 34048 38752 44288 46018 52592 77504 92036 105184 155008 184072 210368 310016 368144 420736 736288 841472 1472576 2945152 5890304