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28946970 = 2345132749
BaseRepresentation
bin110111001101…
…1001000011010
32000110122210000
41232123020122
524402300340
62512233430
7501021333
oct156331032
960418700
1028946970
1115381318
12983b876
135cc68b0
143bb728a
15281bd30
hex1b9b21a

28946970 has 80 divisors (see below), whose sum is σ = 83853000. Its totient is φ = 7122816.

The previous prime is 28946941. The next prime is 28946977. The reversal of 28946970 is 7964982.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11881809 + 17065161 = 3447^2 + 4131^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28946977) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 9156 + ... + 11904.

Almost surely, 228946970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28946970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41926500).

28946970 is an abundant number, since it is smaller than the sum of its proper divisors (54906030).

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

28946970 is a wasteful number, since it uses less digits than its factorization.

28946970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 28946970 is about 5380.2388422820. The cubic root of 28946970 is about 307.0442982334.

The spelling of 28946970 in words is "twenty-eight million, nine hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 810 1053 1170 1755 2106 2749 3510 5265 5498 8247 10530 13745 16494 24741 27490 35737 41235 49482 71474 74223 82470 107211 123705 148446 178685 214422 222669 247410 321633 357370 371115 445338 536055 643266 742230 964899 1072110 1113345 1608165 1929798 2226690 2894697 3216330 4824495 5789394 9648990 14473485 28946970