Search a number
-
+
7125288 = 2333161157
BaseRepresentation
bin11011001011100100101000
3111102000001120
4123023210220
53311002123
6412415240
7114364302
oct33134450
914360046
107125288
114027375
122477520
131626261
14d36972
1595b2e3
hex6cb928

7125288 has 64 divisors (see below), whose sum is σ = 18808320. Its totient is φ = 2246400.

The previous prime is 7125281. The next prime is 7125299. The reversal of 7125288 is 8825217.

7125288 is nontrivially palindromic in base 13.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7125281) 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 15 ways as a sum of consecutive naturals, for example, 45306 + ... + 45462.

It is an arithmetic number, because the mean of its divisors is an integer number (293880).

Almost surely, 27125288 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 7125288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404160).

7125288 is an abundant number, since it is smaller than the sum of its proper divisors (11683032).

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

7125288 is a wasteful number, since it uses less digits than its factorization.

7125288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 7125288 is about 2669.3235098054. The cubic root of 7125288 is about 192.4276492034.

The spelling of 7125288 in words is "seven million, one hundred twenty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 157 183 186 244 248 314 366 372 471 488 628 732 744 942 1256 1464 1884 1891 3768 3782 4867 5673 7564 9577 9734 11346 14601 15128 19154 19468 22692 28731 29202 38308 38936 45384 57462 58404 76616 114924 116808 229848 296887 593774 890661 1187548 1781322 2375096 3562644 7125288