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7130448 = 2432132293
BaseRepresentation
bin11011001100110101010000
3111102021010200
4123030311100
53311133243
6412455200
7114415323
oct33146520
914367120
107130448
114030236
12247a500
131628700
14d387ba
1595cad3
hex6ccd50

7130448 has 90 divisors (see below), whose sum is σ = 21682206. Its totient is φ = 2186496.

The previous prime is 7130441. The next prime is 7130449. The reversal of 7130448 is 8440317.

It can be written as a sum of positive squares in 3 ways, for example, as 535824 + 6594624 = 732^2 + 2568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7130441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24190 + ... + 24482.

Almost surely, 27130448 is an apocalyptic number.

7130448 is a gapful number since it is divisible by the number (78) 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 7130448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841103).

7130448 is an abundant number, since it is smaller than the sum of its proper divisors (14551758).

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

7130448 is a wasteful number, since it uses less digits than its factorization.

7130448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7130448 is about 2670.2898719053. The cubic root of 7130448 is about 192.4740888270.

The spelling of 7130448 in words is "seven million, one hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 293 312 338 468 507 586 624 676 879 936 1014 1172 1352 1521 1758 1872 2028 2344 2637 2704 3042 3516 3809 4056 4688 5274 6084 7032 7618 8112 10548 11427 12168 14064 15236 21096 22854 24336 30472 34281 42192 45708 49517 60944 68562 91416 99034 137124 148551 182832 198068 274248 297102 396136 445653 548496 594204 792272 891306 1188408 1782612 2376816 3565224 7130448