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7052628 = 22311232101
BaseRepresentation
bin11010111001110101010100
3111021022101110
4122321311110
53301141003
6411055020
7113642412
oct32716524
914238343
107052628
113a87820
122441470
1315cc16b
14d182b2
15944a03
hex6b9d54

7052628 has 72 divisors (see below), whose sum is σ = 18952416. Its totient is φ = 2024000.

The previous prime is 7052611. The next prime is 7052699. The reversal of 7052628 is 8262507.

It is a junction number, because it is equal to n+sod(n) for n = 7052595 and 7052604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69778 + ... + 69878.

It is an arithmetic number, because the mean of its divisors is an integer number (263228).

Almost surely, 27052628 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 7052628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476208).

7052628 is an abundant number, since it is smaller than the sum of its proper divisors (11899788).

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

7052628 is a wasteful number, since it uses less digits than its factorization.

7052628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 7052628 is about 2655.6784443904. The cubic root of 7052628 is about 191.7713206242.

It can be divided in two parts, 705 and 2628, that added together give a palindrome (3333).

The spelling of 7052628 in words is "seven million, fifty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 101 132 138 202 253 276 303 404 506 529 606 759 1012 1058 1111 1212 1518 1587 2116 2222 2323 3036 3174 3333 4444 4646 5819 6348 6666 6969 9292 11638 13332 13938 17457 23276 25553 27876 34914 51106 53429 69828 76659 102212 106858 153318 160287 213716 306636 320574 587719 641148 1175438 1763157 2350876 3526314 7052628