Search a number
-
+
9046728 = 233423607
BaseRepresentation
bin100010100000…
…101011001000
3122000121210000
4202200223020
54303443403
6521523000
7136616205
oct42405310
918017700
109046728
115119a39
123043460
131b499c2
1412b6cac
15bda7a3
hex8a0ac8

9046728 has 80 divisors (see below), whose sum is σ = 26484480. Its totient is φ = 2879712.

The previous prime is 9046721. The next prime is 9046733. The reversal of 9046728 is 8276409.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 9046692 and 9046701.

It is not an unprimeable number, because it can be changed into a prime (9046721) 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, 14601 + ... + 15207.

It is an arithmetic number, because the mean of its divisors is an integer number (331056).

Almost surely, 29046728 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 9046728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242240).

9046728 is an abundant number, since it is smaller than the sum of its proper divisors (17437752).

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

9046728 is a wasteful number, since it uses less digits than its factorization.

9046728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 9046728 is about 3007.7779173337. Note that the first 3 decimals coincide. The cubic root of 9046728 is about 208.3677542415.

The spelling of 9046728 in words is "nine million, forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 607 621 648 828 1214 1242 1656 1821 1863 2428 2484 3642 3726 4856 4968 5463 7284 7452 10926 13961 14568 14904 16389 21852 27922 32778 41883 43704 49167 55844 65556 83766 98334 111688 125649 131112 167532 196668 251298 335064 376947 393336 502596 753894 1005192 1130841 1507788 2261682 3015576 4523364 9046728