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9045072 = 2432232731
BaseRepresentation
bin100010100000…
…010001010000
3122000112111200
4202200101100
54303420242
6521511200
7136611321
oct42402120
918015450
109045072
115118773
123042500
131b4901a
1412b6448
15bda04c
hex8a0450

9045072 has 60 divisors (see below), whose sum is σ = 26423904. Its totient is φ = 2882880.

The previous prime is 9045061. The next prime is 9045073. The reversal of 9045072 is 2705409.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9045073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 4677.

Almost surely, 29045072 is an apocalyptic number.

9045072 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13211952).

9045072 is an abundant number, since it is smaller than the sum of its proper divisors (17378832).

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

9045072 is a wasteful number, since it uses less digits than its factorization.

9045072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9045072 is about 3007.5026184527. The cubic root of 9045072 is about 208.3550395872.

The spelling of 9045072 in words is "nine million, forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2731 3312 5462 8193 10924 16386 21848 24579 32772 43696 49158 62813 65544 98316 125626 131088 188439 196632 251252 376878 393264 502504 565317 753756 1005008 1130634 1507512 2261268 3015024 4522536 9045072