Search a number
-
+
88330056 = 23329179709
BaseRepresentation
bin1010100001111…
…00111101001000
320011012122001120
411100330331020
5140103030211
612433115240
72121536013
oct520747510
9204178046
1088330056
1145950751
12256b8b20
13153b8b09
14ba3437a
157b4bd06
hex543cf48

88330056 has 64 divisors (see below), whose sum is σ = 230040000. Its totient is φ = 28229376.

The previous prime is 88330049. The next prime is 88330087. The reversal of 88330056 is 65003388.

It is a junction number, because it is equal to n+sod(n) for n = 88329999 and 88330026.

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 15 ways as a sum of consecutive naturals, for example, 124230 + ... + 124938.

It is an arithmetic number, because the mean of its divisors is an integer number (3594375).

Almost surely, 288330056 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 88330056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115020000).

88330056 is an abundant number, since it is smaller than the sum of its proper divisors (141709944).

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

88330056 is a wasteful number, since it uses less digits than its factorization.

88330056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 88330056 is about 9398.4070990780. The cubic root of 88330056 is about 445.3514137025.

The spelling of 88330056 in words is "eighty-eight million, three hundred thirty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 179 232 348 358 537 696 709 716 1074 1418 1432 2127 2148 2836 4254 4296 5191 5672 8508 10382 15573 17016 20561 20764 31146 41122 41528 61683 62292 82244 123366 124584 126911 164488 246732 253822 380733 493464 507644 761466 1015288 1522932 3045864 3680419 7360838 11041257 14721676 22082514 29443352 44165028 88330056