Search a number
-
+
9028768 = 257172371
BaseRepresentation
bin100010011100…
…010010100000
3121222201010211
4202130102200
54302410033
6521303504
7136512640
oct42342240
917881124
109028768
1151074a1
123034b94
131b41788
1412b0520
15bd52cd
hex89c4a0

9028768 has 48 divisors (see below), whose sum is σ = 21518784. Its totient is φ = 3640320.

The previous prime is 9028763. The next prime is 9028787. The reversal of 9028768 is 8678209.

It is a self number, because there is not a number n which added to its sum of digits gives 9028768.

It is not an unprimeable number, because it can be changed into a prime (9028763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2623 + ... + 4993.

It is an arithmetic number, because the mean of its divisors is an integer number (448308).

Almost surely, 29028768 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 9028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10759392).

9028768 is an abundant number, since it is smaller than the sum of its proper divisors (12490016).

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

9028768 is a wasteful number, since it uses less digits than its factorization.

9028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 9028768 is about 3004.7908413066. The cubic root of 9028768 is about 208.2297756613.

The spelling of 9028768 in words is "nine million, twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2371 3808 4742 9484 16597 18968 33194 37936 40307 66388 75872 80614 132776 161228 265552 282149 322456 531104 564298 644912 1128596 1289824 2257192 4514384 9028768