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4675968 = 27341141
BaseRepresentation
bin10001110101100110000000
322210120020000
4101311212000
52144112333
6244120000
754513363
oct21654600
98716200
104675968
112704140
121696000
13c7945b
1489a0da
15625713
hex475980

4675968 has 160 divisors (see below), whose sum is σ = 15550920. Its totient is φ = 1382400.

The previous prime is 4675963. The next prime is 4676011. The reversal of 4675968 is 8695764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4675961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114028 + ... + 114068.

Almost surely, 24675968 is an apocalyptic number.

4675968 is a gapful number since it is divisible by the number (48) 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 4675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7775460).

4675968 is an abundant number, since it is smaller than the sum of its proper divisors (10874952).

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

4675968 is a wasteful number, since it uses less digits than its factorization.

4675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4675968 is about 2162.3986681461. The cubic root of 4675968 is about 167.2208821396.

The spelling of 4675968 in words is "four million, six hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 81 82 88 96 99 108 123 128 132 144 162 164 176 192 198 216 246 264 288 297 324 328 352 369 384 396 432 451 492 528 576 594 648 656 704 738 792 864 891 902 984 1056 1107 1152 1188 1296 1312 1353 1408 1476 1584 1728 1782 1804 1968 2112 2214 2376 2592 2624 2706 2952 3168 3321 3456 3564 3608 3936 4059 4224 4428 4752 5184 5248 5412 5904 6336 6642 7128 7216 7872 8118 8856 9504 10368 10824 11808 12177 12672 13284 14256 14432 15744 16236 17712 19008 21648 23616 24354 26568 28512 28864 32472 35424 36531 38016 43296 47232 48708 53136 57024 57728 64944 70848 73062 86592 97416 106272 114048 129888 141696 146124 173184 194832 212544 259776 292248 389664 425088 519552 584496 779328 1168992 1558656 2337984 4675968