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8630028 = 223211193137
BaseRepresentation
bin100000111010…
…111100001100
3121020110011200
4200322330030
54202130103
6504545500
7133232301
oct40727414
917213150
108630028
114964960
122a82290
131a32134
1412090a8
15b570a3
hex83af0c

8630028 has 144 divisors (see below), whose sum is σ = 26557440. Its totient is φ = 2332800.

The previous prime is 8630003. The next prime is 8630029. The reversal of 8630028 is 8200368.

8630028 is a `hidden beast` number, since 8 + 630 + 0 + 28 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8629983 and 8630010.

It is not an unprimeable number, because it can be changed into a prime (8630029) 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 47 ways as a sum of consecutive naturals, for example, 233226 + ... + 233262.

Almost surely, 28630028 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 8630028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278720).

8630028 is an abundant number, since it is smaller than the sum of its proper divisors (17927412).

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

8630028 is a wasteful number, since it uses less digits than its factorization.

8630028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8630028 is about 2937.6909299652. The cubic root of 8630028 is about 205.1181393207.

It can be divided in two parts, 8 and 630028, that added together give a palindrome (630036).

The spelling of 8630028 in words is "eight million, six hundred thirty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 37 38 44 57 62 66 74 76 93 99 111 114 124 132 148 171 186 198 209 222 228 279 333 341 342 372 396 407 418 444 558 589 627 666 682 684 703 814 836 1023 1116 1147 1178 1221 1254 1332 1364 1406 1628 1767 1881 2046 2109 2294 2356 2442 2508 2812 3069 3441 3534 3663 3762 4092 4218 4588 4884 5301 6138 6327 6479 6882 7068 7326 7524 7733 8436 10323 10602 12276 12617 12654 12958 13764 14652 15466 19437 20646 21204 21793 23199 25234 25308 25916 30932 37851 38874 41292 43586 46398 50468 58311 65379 69597 75702 77748 87172 92796 113553 116622 130758 139194 151404 196137 227106 233244 239723 261516 278388 392274 454212 479446 719169 784548 958892 1438338 2157507 2876676 4315014 8630028