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30025728 = 21134181
BaseRepresentation
bin111001010001…
…0100000000000
32002111110120000
41302202200000
530141310403
62551320000
7513133365
oct162424000
962443500
1030025728
1115a48857
12a080000
1362b3905
143db846c
1529817a3
hex1ca2800

30025728 has 120 divisors (see below), whose sum is σ = 90180090. Its totient is φ = 9953280.

The previous prime is 30025727. The next prime is 30025733. The reversal of 30025728 is 82752003.

It can be written as a sum of positive squares in only one way, i.e., 29942784 + 82944 = 5472^2 + 288^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30025727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165798 + ... + 165978.

Almost surely, 230025728 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 30025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090045).

30025728 is an abundant number, since it is smaller than the sum of its proper divisors (60154362).

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

30025728 is an equidigital number, since it uses as much as digits as its factorization.

30025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 30025728 is about 5479.5737060468. The cubic root of 30025728 is about 310.8120506352.

The spelling of 30025728 in words is "thirty million, twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 181 192 216 256 288 324 362 384 432 512 543 576 648 724 768 864 1024 1086 1152 1296 1448 1536 1629 1728 2048 2172 2304 2592 2896 3072 3258 3456 4344 4608 4887 5184 5792 6144 6516 6912 8688 9216 9774 10368 11584 13032 13824 14661 17376 18432 19548 20736 23168 26064 27648 29322 34752 39096 41472 46336 52128 55296 58644 69504 78192 82944 92672 104256 117288 139008 156384 165888 185344 208512 234576 278016 312768 370688 417024 469152 556032 625536 834048 938304 1112064 1251072 1668096 1876608 2502144 3336192 3753216 5004288 7506432 10008576 15012864 30025728