Search a number
-
+
7264359468 = 22322338322907
BaseRepresentation
bin1101100001111110…
…10101010000101100
3200202021011200210200
412300333111100230
5104334134000333
63200500233500
7345006015402
oct66077252054
920667150720
107264359468
1130985a5873
1214a899b890
138ba005572
144ccad3472
152c7b37c13
hex1b0fd542c

7264359468 has 72 divisors (see below), whose sum is σ = 19211931648. Its totient is φ = 2310024288.

The previous prime is 7264359467. The next prime is 7264359497. The reversal of 7264359468 is 8649534627.

7264359468 is a `hidden beast` number, since 7 + 2 + 6 + 43 + 594 + 6 + 8 = 666.

It is a super-3 number, since 3×72643594683 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (7264359461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305671 + ... + 328577.

It is an arithmetic number, because the mean of its divisors is an integer number (266832384).

Almost surely, 27264359468 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 7264359468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605965824).

7264359468 is an abundant number, since it is smaller than the sum of its proper divisors (11947572180).

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

7264359468 is a wasteful number, since it uses less digits than its factorization.

7264359468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23323 (or 23318 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 7264359468 is about 85231.2118182066. The cubic root of 7264359468 is about 1936.7152645185.

The spelling of 7264359468 in words is "seven billion, two hundred sixty-four million, three hundred fifty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 383 414 766 828 1149 1532 2298 3447 4596 6894 8809 13788 17618 22907 26427 35236 45814 52854 68721 79281 91628 105708 137442 158562 206163 274884 317124 412326 526861 824652 1053722 1580583 2107444 3161166 4741749 6322332 8773381 9483498 17546762 18966996 26320143 35093524 52640286 78960429 105280572 157920858 201787763 315841716 403575526 605363289 807151052 1210726578 1816089867 2421453156 3632179734 7264359468