Search a number
-
+
88448260 = 22529732089
BaseRepresentation
bin1010100010110…
…01110100000100
320011102122012111
411101121310010
5140120321020
612435430404
72122540435
oct521316404
9204378174
1088448260
1145a2153a
1225755404
131542a864
14ba6548c
157b71d5a
hex5459d04

88448260 has 48 divisors (see below), whose sum is σ = 194871600. Its totient is φ = 33675264.

The previous prime is 88448251. The next prime is 88448303. The reversal of 88448260 is 6284488.

It can be written as a sum of positive squares in 8 ways, for example, as 3218436 + 85229824 = 1794^2 + 9232^2 .

It is an unprimeable number.

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, 41296 + ... + 43384.

It is an arithmetic number, because the mean of its divisors is an integer number (4059825).

Almost surely, 288448260 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 88448260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97435800).

88448260 is an abundant number, since it is smaller than the sum of its proper divisors (106423340).

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

88448260 is a wasteful number, since it uses less digits than its factorization.

88448260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 88448260 is about 9404.6935090943. The cubic root of 88448260 is about 445.5499827823.

The spelling of 88448260 in words is "eighty-eight million, four hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 73 116 145 146 290 292 365 580 730 1460 2089 2117 4178 4234 8356 8468 10445 10585 20890 21170 41780 42340 60581 121162 152497 242324 302905 304994 605810 609988 762485 1211620 1524970 3049940 4422413 8844826 17689652 22112065 44224130 88448260