Search a number
-
+
30255568 = 2471511789
BaseRepresentation
bin111001101101…
…0100111010000
32002221010211121
41303122213100
530221134233
63000252024
7515111440
oct163324720
962833747
1030255568
1116095502
12a171014
136364405
144038120
1529c992d
hex1cda9d0

30255568 has 40 divisors (see below), whose sum is σ = 67475840. Its totient is φ = 12873600.

The previous prime is 30255553. The next prime is 30255569. The reversal of 30255568 is 86555203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30255569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16018 + ... + 17806.

It is an arithmetic number, because the mean of its divisors is an integer number (1686896).

Almost surely, 230255568 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 30255568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33737920).

30255568 is an abundant number, since it is smaller than the sum of its proper divisors (37220272).

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

30255568 is a wasteful number, since it uses less digits than its factorization.

30255568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 30255568 is about 5500.5061585276. The cubic root of 30255568 is about 311.6031003969.

The spelling of 30255568 in words is "thirty million, two hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 151 302 604 1057 1208 1789 2114 2416 3578 4228 7156 8456 12523 14312 16912 25046 28624 50092 100184 200368 270139 540278 1080556 1890973 2161112 3781946 4322224 7563892 15127784 30255568