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9073728 = 26335989
BaseRepresentation
bin100010100111…
…010001000000
3122001222211000
4202213101000
54310324403
6522252000
7140061006
oct42472100
918058730
109073728
115138254
123057000
131b59091
1412c2a76
15be37a3
hex8a7440

9073728 has 112 divisors (see below), whose sum is σ = 27432000. Its totient is φ = 2939904.

The previous prime is 9073709. The next prime is 9073747. The reversal of 9073728 is 8273709.

It is an interprime number because it is at equal distance from previous prime (9073709) and next prime (9073747).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 9073692 and 9073701.

It is a congruent number.

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, 101908 + ... + 101996.

Almost surely, 29073728 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 9073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716000).

9073728 is an abundant number, since it is smaller than the sum of its proper divisors (18358272).

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

9073728 is a wasteful number, since it uses less digits than its factorization.

9073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 9073728 is about 3012.2629367305. The cubic root of 9073728 is about 208.5748398588.

It can be divided in two parts, 9073 and 728, that added together give a square (9801 = 992).

The spelling of 9073728 in words is "nine million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 64 72 89 96 108 118 144 177 178 192 216 236 267 288 354 356 432 472 531 534 576 708 712 801 864 944 1062 1068 1416 1424 1593 1602 1728 1888 2124 2136 2403 2832 2848 3186 3204 3776 4248 4272 4806 5251 5664 5696 6372 6408 8496 8544 9612 10502 11328 12744 12816 15753 16992 17088 19224 21004 25488 25632 31506 33984 38448 42008 47259 50976 51264 63012 76896 84016 94518 101952 126024 141777 153792 168032 189036 252048 283554 336064 378072 504096 567108 756144 1008192 1134216 1512288 2268432 3024576 4536864 9073728