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28303008 = 2531959263
BaseRepresentation
bin110101111110…
…1111010100000
31222020221102120
41223331322200
524221144013
62450344240
7462400026
oct153757240
958227376
1028303008
1114a81518
12958b080
135b2c756
143a8a716
152741123
hex1afdea0

28303008 has 96 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 8752896.

The previous prime is 28303003. The next prime is 28303013. The reversal of 28303008 is 80030382.

It is an interprime number because it is at equal distance from previous prime (28303003) and next prime (28303013).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (28303003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107485 + ... + 107747.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 228303008 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 28303008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39916800).

28303008 is an abundant number, since it is smaller than the sum of its proper divisors (51530592).

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

28303008 is a wasteful number, since it uses less digits than its factorization.

28303008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 28303008 is about 5320.0571425503. The cubic root of 28303008 is about 304.7503394545.

The spelling of 28303008 in words is "twenty-eight million, three hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 59 76 96 114 118 152 177 228 236 263 304 354 456 472 526 608 708 789 912 944 1052 1121 1416 1578 1824 1888 2104 2242 2832 3156 3363 4208 4484 4997 5664 6312 6726 8416 8968 9994 12624 13452 14991 15517 17936 19988 25248 26904 29982 31034 35872 39976 46551 53808 59964 62068 79952 93102 107616 119928 124136 159904 186204 239856 248272 294823 372408 479712 496544 589646 744816 884469 1179292 1489632 1768938 2358584 3537876 4717168 7075752 9434336 14151504 28303008