Search a number
-
+
4254768 = 24347267
BaseRepresentation
bin10000001110110000110000
322000011110000
4100032300300
52042123033
6231110000
751110400
oct20166060
98004400
104254768
112446741
121512300
13b5c81b
147ca800
15590a13
hex40ec30

4254768 has 150 divisors (see below), whose sum is σ = 14538876. Its totient is φ = 1197504.

The previous prime is 4254763. The next prime is 4254779. The reversal of 4254768 is 8674524.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4254763) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63471 + ... + 63537.

Almost surely, 24254768 is an apocalyptic number.

4254768 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 4254768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7269438).

4254768 is an abundant number, since it is smaller than the sum of its proper divisors (10284108).

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

4254768 is a wasteful number, since it uses less digits than its factorization.

4254768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 4254768 is about 2062.7088985119. The cubic root of 4254768 is about 162.0411418140.

The spelling of 4254768 in words is "four million, two hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 67 72 81 84 98 108 112 126 134 144 147 162 168 189 196 201 216 252 268 294 324 336 378 392 402 432 441 469 504 536 567 588 603 648 756 784 804 882 938 1008 1072 1134 1176 1206 1296 1323 1407 1512 1608 1764 1809 1876 2268 2352 2412 2646 2814 3024 3216 3283 3528 3618 3752 3969 4221 4536 4824 5292 5427 5628 6566 7056 7236 7504 7938 8442 9072 9648 9849 10584 10854 11256 12663 13132 14472 15876 16884 19698 21168 21708 22512 25326 26264 28944 29547 31752 33768 37989 39396 43416 50652 52528 59094 63504 67536 75978 78792 86832 88641 101304 118188 151956 157584 177282 202608 236376 265923 303912 354564 472752 531846 607824 709128 1063692 1418256 2127384 4254768