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9002790 = 2325671493
BaseRepresentation
bin100010010101…
…111100100110
3121221101111200
4202111330212
54301042130
6520543330
7136344126
oct42257446
917841450
109002790
115099a25
123021b46
131b329c4
1412a4c86
15bcc760
hex895f26

9002790 has 48 divisors (see below), whose sum is σ = 23772528. Its totient is φ = 2363328.

The previous prime is 9002779. The next prime is 9002801. The reversal of 9002790 is 972009.

9002790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9002779) and next prime (9002801).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5284 + ... + 6776.

It is an arithmetic number, because the mean of its divisors is an integer number (495261).

Almost surely, 29002790 is an apocalyptic number.

9002790 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9002790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886264).

9002790 is an abundant number, since it is smaller than the sum of its proper divisors (14769738).

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

9002790 is a wasteful number, since it uses less digits than its factorization.

9002790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 9002790 is about 3000.4649639681. The cubic root of 9002790 is about 208.0298742840.

Adding to 9002790 its reverse (972009), we get a palindrome (9974799).

The spelling of 9002790 in words is "nine million, two thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1493 2010 2986 3015 4479 6030 7465 8958 13437 14930 22395 26874 44790 67185 100031 134370 200062 300093 500155 600186 900279 1000310 1500465 1800558 3000930 4501395 9002790