Search a number
-
+
9490728 = 23313191601
BaseRepresentation
bin100100001101…
…000100101000
3122212011211110
4210031010220
54412200403
6535230320
7143445522
oct44150450
918764743
109490728
1153a2585
1232183a0
131c73b20
141390a12
15c77103
hex90d128

9490728 has 64 divisors (see below), whose sum is σ = 26913600. Its totient is φ = 2764800.

The previous prime is 9490717. The next prime is 9490813. The reversal of 9490728 is 8270949.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5128 + ... + 6728.

It is an arithmetic number, because the mean of its divisors is an integer number (420525).

Almost surely, 29490728 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 9490728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13456800).

9490728 is an abundant number, since it is smaller than the sum of its proper divisors (17422872).

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

9490728 is a wasteful number, since it uses less digits than its factorization.

9490728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 9490728 is about 3080.7025172840. The cubic root of 9490728 is about 211.7222540539.

The spelling of 9490728 in words is "nine million, four hundred ninety thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1601 1976 2964 3202 4803 5928 6404 9606 12808 19212 20813 30419 38424 41626 60838 62439 83252 91257 121676 124878 166504 182514 243352 249756 365028 395447 499512 730056 790894 1186341 1581788 2372682 3163576 4745364 9490728