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9028000 = 25533761
BaseRepresentation
bin100010011100…
…000110100000
3121222200002101
4202130012200
54302344000
6521300144
7136510462
oct42340640
917880071
109028000
115106963
123034654
131b41317
1412b0132
15bd4e6a
hex89c1a0

9028000 has 96 divisors (see below), whose sum is σ = 23154768. Its totient is φ = 3456000.

The previous prime is 9027973. The next prime is 9028007. The reversal of 9028000 is 8209.

It can be written as a sum of positive squares in 8 ways, for example, as 99856 + 8928144 = 316^2 + 2988^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (9028007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147970 + ... + 148030.

Almost surely, 29028000 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 9028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11577384).

9028000 is an abundant number, since it is smaller than the sum of its proper divisors (14126768).

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

9028000 is a wasteful number, since it uses less digits than its factorization.

9028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 9028000 is about 3004.6630426722. The cubic root of 9028000 is about 208.2238713858.

The spelling of 9028000 in words is "nine million, twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 61 74 80 100 122 125 148 160 185 200 244 250 296 305 370 400 488 500 592 610 740 800 925 976 1000 1184 1220 1480 1525 1850 1952 2000 2257 2440 2960 3050 3700 4000 4514 4625 4880 5920 6100 7400 7625 9028 9250 9760 11285 12200 14800 15250 18056 18500 22570 24400 29600 30500 36112 37000 45140 48800 56425 61000 72224 74000 90280 112850 122000 148000 180560 225700 244000 282125 361120 451400 564250 902800 1128500 1805600 2257000 4514000 9028000