Search a number
-
+
7288056 = 233523163
BaseRepresentation
bin11011110011010011111000
3111201021100000
4123303103320
53331204211
6420113000
7115642656
oct33632370
914637300
107288056
114128696
122535760
131682379
14d79dd6
1598e656
hex6f34f8

7288056 has 96 divisors (see below), whose sum is σ = 21490560. Its totient is φ = 2309472.

The previous prime is 7288051. The next prime is 7288063. The reversal of 7288056 is 6508827.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 7288056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44631 + ... + 44793.

It is an arithmetic number, because the mean of its divisors is an integer number (223860).

Almost surely, 27288056 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 7288056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10745280).

7288056 is an abundant number, since it is smaller than the sum of its proper divisors (14202504).

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

7288056 is a wasteful number, since it uses less digits than its factorization.

7288056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7288056 is about 2699.6399759968. The cubic root of 7288056 is about 193.8818850931.

The spelling of 7288056 in words is "seven million, two hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 163 184 207 216 243 276 324 326 414 486 489 552 621 648 652 828 972 978 1242 1304 1467 1656 1863 1944 1956 2484 2934 3726 3749 3912 4401 4968 5589 5868 7452 7498 8802 11178 11247 11736 13203 14904 14996 17604 22356 22494 26406 29992 33741 35208 39609 44712 44988 52812 67482 79218 89976 101223 105624 134964 158436 202446 269928 303669 316872 404892 607338 809784 911007 1214676 1822014 2429352 3644028 7288056