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30325248 = 29326581
BaseRepresentation
bin111001110101…
…1101000000000
32010001200102100
41303223220000
530230401443
63001550400
7515521542
oct163535000
963050370
1030325248
1116132898
12a1a5400
13638a045
144055692
1529e03d3
hex1ceba00

30325248 has 60 divisors (see below), whose sum is σ = 87534018. Its totient is φ = 10106880.

The previous prime is 30325241. The next prime is 30325249. The reversal of 30325248 is 84252303.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 1937664 = 5328^2 + 1392^2 .

It is not an unprimeable number, because it can be changed into a prime (30325241) 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 5 ways as a sum of consecutive naturals, for example, 1318 + ... + 7898.

Almost surely, 230325248 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 30325248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43767009).

30325248 is an abundant number, since it is smaller than the sum of its proper divisors (57208770).

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

30325248 is an equidigital number, since it uses as much as digits as its factorization.

30325248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30325248 is about 5506.8364784148. The cubic root of 30325248 is about 311.8421292044.

The spelling of 30325248 in words is "thirty million, three hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6581 13162 19743 26324 39486 52648 59229 78972 105296 118458 157944 210592 236916 315888 421184 473832 631776 842368 947664 1263552 1684736 1895328 2527104 3369472 3790656 5054208 7581312 10108416 15162624 30325248