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7028384 = 251141487
BaseRepresentation
bin11010110011111010100000
3111020002010112
4122303322200
53244402014
6410350452
7113511626
oct32637240
914202115
107028384
113a70590
12242b428
1315c110c
14d0d516
1593c73e
hex6b3ea0

7028384 has 48 divisors (see below), whose sum is σ = 15494976. Its totient is φ = 3110400.

The previous prime is 7028381. The next prime is 7028389. The reversal of 7028384 is 4838207.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 7028384.

It is not an unprimeable number, because it can be changed into a prime (7028381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14189 + ... + 14675.

It is an arithmetic number, because the mean of its divisors is an integer number (322812).

Almost surely, 27028384 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 7028384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747488).

7028384 is an abundant number, since it is smaller than the sum of its proper divisors (8466592).

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

7028384 is a wasteful number, since it uses less digits than its factorization.

7028384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 7028384 is about 2651.1099562259. The cubic root of 7028384 is about 191.5513250163.

The spelling of 7028384 in words is "seven million, twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 487 656 902 974 1312 1804 1948 3608 3896 5357 7216 7792 10714 14432 15584 19967 21428 39934 42856 79868 85712 159736 171424 219637 319472 439274 638944 878548 1757096 3514192 7028384