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30048256 = 2157131
BaseRepresentation
bin111001010100…
…0000000000000
32002112121110101
41302220000000
530143021011
62552012144
7513256150
oct162500000
962477411
1030048256
1115a63777
12a091054
1362c0c44
143dc2760
1529882c1
hex1ca8000

30048256 has 64 divisors (see below), whose sum is σ = 69204960. Its totient is φ = 12779520.

The previous prime is 30048251. The next prime is 30048289. The reversal of 30048256 is 65284003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (30048251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229311 + ... + 229441.

Almost surely, 230048256 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 30048256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34602480).

30048256 is an abundant number, since it is smaller than the sum of its proper divisors (39156704).

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

30048256 is an frugal number, since it uses more digits than its factorization.

30048256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 30048256 is about 5481.6289549731. The cubic root of 30048256 is about 310.8897642484.

The spelling of 30048256 in words is "thirty million, forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 448 512 524 896 917 1024 1048 1792 1834 2048 2096 3584 3668 4096 4192 7168 7336 8192 8384 14336 14672 16384 16768 28672 29344 32768 33536 57344 58688 67072 114688 117376 134144 229376 234752 268288 469504 536576 939008 1073152 1878016 2146304 3756032 4292608 7512064 15024128 30048256