Search a number
-
+
4668048 = 2432711421
BaseRepresentation
bin10001110011101010010000
322210011100200
4101303222100
52143334143
6244015200
754451320
oct21635220
98704320
104668048
1126a91a0
121691500
13c75978
14897280
156231d3
hex473a90

4668048 has 120 divisors (see below), whose sum is σ = 16326336. Its totient is φ = 1209600.

The previous prime is 4668023. The next prime is 4668049. The reversal of 4668048 is 8408664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4668049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10878 + ... + 11298.

Almost surely, 24668048 is an apocalyptic number.

4668048 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 4668048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8163168).

4668048 is an abundant number, since it is smaller than the sum of its proper divisors (11658288).

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

4668048 is a wasteful number, since it uses less digits than its factorization.

4668048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4668048 is about 2160.5665923549. The cubic root of 4668048 is about 167.1264177188.

The spelling of 4668048 in words is "four million, six hundred sixty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 421 462 504 528 616 693 792 842 924 1008 1232 1263 1386 1584 1684 1848 2526 2772 2947 3368 3696 3789 4631 5052 5544 5894 6736 7578 8841 9262 10104 11088 11788 13893 15156 17682 18524 20208 23576 26523 27786 30312 32417 35364 37048 41679 47152 53046 55572 60624 64834 70728 74096 83358 97251 106092 111144 129668 141456 166716 194502 212184 222288 259336 291753 333432 389004 424368 518672 583506 666864 778008 1167012 1556016 2334024 4668048