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28303830 = 234583421
BaseRepresentation
bin110101111111…
…0000111010110
31222020222120000
41223332013112
524221210310
62450352130
7462402312
oct153760726
958228500
1028303830
1114a820a5
12958b646
135b2cc39
143a8ab42
1527414c0
hex1afe1d6

28303830 has 80 divisors (see below), whose sum is σ = 77205744. Its totient is φ = 7439040.

The previous prime is 28303801. The next prime is 28303831. The reversal of 28303830 is 3830382.

28303830 = 2132 + 2142 + ... + 4552.

28303830 is a `hidden beast` number, since 283 + 0 + 383 + 0 = 666.

It is a super-2 number, since 2×283038302 = 1602213585337800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 28303794 and 28303803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28303831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67020 + ... + 67440.

Almost surely, 228303830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28303830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38602872).

28303830 is an abundant number, since it is smaller than the sum of its proper divisors (48901914).

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

28303830 is a wasteful number, since it uses less digits than its factorization.

28303830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 28303830 is about 5320.1343967986. The cubic root of 28303830 is about 304.7532896987.

The spelling of 28303830 in words is "twenty-eight million, three hundred three thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 421 498 747 810 830 842 1245 1263 1494 2105 2241 2490 2526 3735 3789 4210 4482 6315 6723 7470 7578 11205 11367 12630 13446 18945 22410 22734 33615 34101 34943 37890 56835 67230 68202 69886 104829 113670 170505 174715 209658 314487 341010 349430 524145 628974 943461 1048290 1572435 1886922 2830383 3144870 4717305 5660766 9434610 14151915 28303830