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30028256 = 25173191
BaseRepresentation
bin111001010001…
…1000111100000
32002111121000122
41302203013200
530141401011
62551335412
7513143636
oct162430740
962447018
1030028256
1115a4a745
12a081568
1362b4acb
143db9356
1529823db
hex1ca31e0

30028256 has 48 divisors (see below), whose sum is σ = 63141120. Its totient is φ = 14056960.

The previous prime is 30028249. The next prime is 30028259. The reversal of 30028256 is 65282003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30028259) 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 7 ways as a sum of consecutive naturals, for example, 157121 + ... + 157311.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 230028256 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 30028256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31570560).

30028256 is an abundant number, since it is smaller than the sum of its proper divisors (33112864).

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

30028256 is an equidigital number, since it uses as much as digits as its factorization.

30028256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 30028256 is about 5479.8043760704. The cubic root of 30028256 is about 310.8207732748.

The spelling of 30028256 in words is "thirty million, twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 289 382 544 578 764 1156 1528 2312 3056 3247 4624 4913 6112 6494 9248 9826 12988 19652 25976 39304 51952 55199 78608 103904 110398 157216 220796 441592 883184 938383 1766368 1876766 3753532 7507064 15014128 30028256