Search a number
-
+
7052472 = 2332721999
BaseRepresentation
bin11010111001110010111000
3111021022011200
4122321302320
53301134342
6411054200
7113642100
oct32716270
914238150
107052472
113a87699
122441360
1315cc07b
14d18200
1594494c
hex6b9cb8

7052472 has 72 divisors (see below), whose sum is σ = 22230000. Its totient is φ = 2013984.

The previous prime is 7052431. The next prime is 7052483. The reversal of 7052472 is 2742507.

7052472 is a `hidden beast` number, since 70 + 524 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×70524722 = 99474722621568, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 2529 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (308750).

Almost surely, 27052472 is an apocalyptic number.

7052472 is a gapful number since it is divisible by the number (72) 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 7052472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11115000).

7052472 is an abundant number, since it is smaller than the sum of its proper divisors (15177528).

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

7052472 is a wasteful number, since it uses less digits than its factorization.

7052472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7052472 is about 2655.6490732023. The cubic root of 7052472 is about 191.7699066573.

Adding to 7052472 its reverse (2742507), we get a palindrome (9794979).

The spelling of 7052472 in words is "seven million, fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 1999 3528 3998 5997 7996 11994 13993 15992 17991 23988 27986 35982 41979 47976 55972 71964 83958 97951 111944 125937 143928 167916 195902 251874 293853 335832 391804 503748 587706 783608 881559 1007496 1175412 1763118 2350824 3526236 7052472