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10282008 = 23311172979
BaseRepresentation
bin100111001110…
…010000011000
3201100101021010
4213032100120
510113011013
61004213520
7153252462
oct47162030
921311233
1010282008
115893030
12353a2a0
132190039
141519132
15d817c3
hex9ce418

10282008 has 128 divisors (see below), whose sum is σ = 31104000. Its totient is φ = 2795520.

The previous prime is 10282001. The next prime is 10282009. The reversal of 10282008 is 80028201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10282001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130113 + ... + 130191.

It is an arithmetic number, because the mean of its divisors is an integer number (243000).

Almost surely, 210282008 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 10282008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552000).

10282008 is an abundant number, since it is smaller than the sum of its proper divisors (20821992).

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

10282008 is a wasteful number, since it uses less digits than its factorization.

10282008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 10282008 is about 3206.5570320829. The cubic root of 10282008 is about 217.4499501695.

The spelling of 10282008 in words is "ten million, two hundred eighty-two thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 29 33 34 44 51 58 66 68 79 87 88 102 116 132 136 158 174 187 204 232 237 264 316 319 348 374 408 474 493 561 632 638 696 748 869 948 957 986 1122 1276 1343 1479 1496 1738 1896 1914 1972 2244 2291 2552 2607 2686 2958 3476 3828 3944 4029 4488 4582 5214 5372 5423 5916 6873 6952 7656 8058 9164 10428 10744 10846 11832 13746 14773 16116 16269 18328 20856 21692 25201 27492 29546 32232 32538 38947 43384 44319 50402 54984 59092 65076 75603 77894 88638 100804 116841 118184 130152 151206 155788 177276 201608 233682 302412 311576 354552 428417 467364 604824 856834 934728 1285251 1713668 2570502 3427336 5141004 10282008