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30928248 = 233213173191
BaseRepresentation
bin111010111111…
…0110101111000
32011012022120200
41311332311320
530404200443
63022522200
7523612551
oct165766570
964168520
1030928248
111650493a
12a436360
13653b650
144171328
152aaddd3
hex1d7ed78

30928248 has 96 divisors (see below), whose sum is σ = 91203840. Its totient is φ = 9411840.

The previous prime is 30928241. The next prime is 30928259. The reversal of 30928248 is 84282903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30928241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161833 + ... + 162023.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 230928248 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 30928248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601920).

30928248 is an abundant number, since it is smaller than the sum of its proper divisors (60275592).

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

30928248 is a wasteful number, since it uses less digits than its factorization.

30928248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30928248 is about 5561.3171101817. The cubic root of 30928248 is about 313.8955120446.

The spelling of 30928248 in words is "thirty million, nine hundred twenty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 173 191 234 312 346 382 468 519 573 692 764 936 1038 1146 1384 1528 1557 1719 2076 2249 2292 2483 3114 3438 4152 4498 4584 4966 6228 6747 6876 7449 8996 9932 12456 13494 13752 14898 17992 19864 20241 22347 26988 29796 33043 40482 44694 53976 59592 66086 80964 89388 99129 132172 161928 178776 198258 264344 297387 396516 429559 594774 793032 859118 1189548 1288677 1718236 2379096 2577354 3436472 3866031 5154708 7732062 10309416 15464124 30928248