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9003072 = 263133607
BaseRepresentation
bin100010010110…
…000001000000
3121221101220010
4202112001000
54301044242
6520544520
7136345011
oct42260100
917841803
109003072
11509a161
123022140
131b32b80
1412a5008
15bcc89c
hex896040

9003072 has 56 divisors (see below), whose sum is σ = 25660096. Its totient is φ = 2769408.

The previous prime is 9003061. The next prime is 9003083. The reversal of 9003072 is 2703009.

It is an interprime number because it is at equal distance from previous prime (9003061) and next prime (9003083).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693 + ... + 4299.

It is an arithmetic number, because the mean of its divisors is an integer number (458216).

Almost surely, 29003072 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 9003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12830048).

9003072 is an abundant number, since it is smaller than the sum of its proper divisors (16657024).

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

9003072 is a wasteful number, since it uses less digits than its factorization.

9003072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 9003072 is about 3000.5119563168. The cubic root of 9003072 is about 208.0320463445.

The spelling of 9003072 in words is "nine million, three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3607 7214 10821 14428 21642 28856 43284 46891 57712 86568 93782 115424 140673 173136 187564 230848 281346 346272 375128 562692 692544 750256 1125384 1500512 2250768 3001024 4501536 9003072