Search a number
-
+
9050832 = 243374173
BaseRepresentation
bin100010100001…
…101011010000
3122000211102000
4202201223100
54304111312
6521554000
7136634160
oct42415320
918024360
109050832
11512202a
123045900
131b4b82b
1412b85a0
15bdbadc
hex8a1ad0

9050832 has 160 divisors (see below), whose sum is σ = 30831360. Its totient is φ = 2488320.

The previous prime is 9050831. The next prime is 9050843. The reversal of 9050832 is 2380509.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 9050796 and 9050805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9050831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123948 + ... + 124020.

It is an arithmetic number, because the mean of its divisors is an integer number (192696).

Almost surely, 29050832 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 9050832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15415680).

9050832 is an abundant number, since it is smaller than the sum of its proper divisors (21780528).

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

9050832 is a wasteful number, since it uses less digits than its factorization.

9050832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9050832 is about 3008.4600711992. The cubic root of 9050832 is about 208.3992577857.

The spelling of 9050832 in words is "nine million, fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 73 82 84 108 112 123 126 144 146 164 168 189 216 219 246 252 287 292 328 336 369 378 432 438 492 504 511 574 584 656 657 738 756 861 876 984 1008 1022 1107 1148 1168 1314 1476 1512 1533 1722 1752 1968 1971 2044 2214 2296 2583 2628 2952 2993 3024 3066 3444 3504 3942 4088 4428 4592 4599 5166 5256 5904 5986 6132 6888 7749 7884 8176 8856 8979 9198 10332 10512 11972 12264 13776 13797 15498 15768 17712 17958 18396 20664 20951 23944 24528 26937 27594 30996 31536 35916 36792 41328 41902 47888 53874 55188 61992 62853 71832 73584 80811 83804 107748 110376 123984 125706 143664 161622 167608 188559 215496 220752 251412 323244 335216 377118 430992 502824 565677 646488 754236 1005648 1131354 1292976 1508472 2262708 3016944 4525416 9050832