[go: up one dir, main page]

Search a number
-
+
28779840 = 263353331
BaseRepresentation
bin110110111001…
…0010101000000
32000011011112000
41231302111000
524331423330
62504504000
7466424145
oct155622500
960134460
1028779840
11152777a1
12977b000
135c687bb
143b723cc
1527d7560
hex1b72540

28779840 has 112 divisors (see below), whose sum is σ = 101559360. Its totient is φ = 7672320.

The previous prime is 28779823. The next prime is 28779847. The reversal of 28779840 is 4897782.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28779847) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6975 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (906780).

Almost surely, 228779840 is an apocalyptic number.

28779840 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 28779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779680).

28779840 is an abundant number, since it is smaller than the sum of its proper divisors (72779520).

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

28779840 is a wasteful number, since it uses less digits than its factorization.

28779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 28779840 is about 5364.6845200813. The cubic root of 28779840 is about 306.4522340487.

The spelling of 28779840 in words is "twenty-eight million, seven hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 3331 4320 6662 8640 9993 13324 16655 19986 26648 29979 33310 39972 49965 53296 59958 66620 79944 89937 99930 106592 119916 133240 149895 159888 179874 199860 213184 239832 266480 299790 319776 359748 399720 449685 479664 532960 599580 639552 719496 799440 899370 959328 1065920 1199160 1438992 1598880 1798740 1918656 2398320 2877984 3197760 3597480 4796640 5755968 7194960 9593280 14389920 28779840