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30256688 = 2471141599
BaseRepresentation
bin111001101101…
…0111000110000
32002221012101002
41303122320300
530221203223
63000301132
7515114630
oct163327060
962835332
1030256688
1116096330
12a1717a8
136364a87
1440386c0
1529c9e28
hex1cdae30

30256688 has 80 divisors (see below), whose sum is σ = 74995200. Its totient is φ = 11481600.

The previous prime is 30256679. The next prime is 30256691. The reversal of 30256688 is 88665203.

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, 50213 + ... + 50811.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 230256688 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 30256688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37497600).

30256688 is an abundant number, since it is smaller than the sum of its proper divisors (44738512).

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

30256688 is a wasteful number, since it uses less digits than its factorization.

30256688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 30256688 is about 5500.6079663979. The cubic root of 30256688 is about 311.6069453219.

The spelling of 30256688 in words is "thirty million, two hundred fifty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 599 616 656 902 1148 1198 1232 1804 2296 2396 3157 3608 4193 4592 4792 6314 6589 7216 8386 9584 12628 13178 16772 24559 25256 26356 33544 46123 49118 50512 52712 67088 92246 98236 105424 171913 184492 196472 270149 343826 368984 392944 540298 687652 737968 1080596 1375304 1891043 2161192 2750608 3782086 4322384 7564172 15128344 30256688