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30042048 = 263236803
BaseRepresentation
bin111001010011…
…0011111000000
32002112021221110
41302212133000
530142321143
62551523320
7513232101
oct162463700
962467843
1030042048
1115a5a043
12a089540
1362bb17a
143dc03a8
152986533
hex1ca67c0

30042048 has 56 divisors (see below), whose sum is σ = 82954368. Its totient is φ = 9577216.

The previous prime is 30042037. The next prime is 30042049. The reversal of 30042048 is 84024003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30042049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015 + ... + 7817.

It is an arithmetic number, because the mean of its divisors is an integer number (1481328).

Almost surely, 230042048 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 30042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

30042048 is an abundant number, since it is smaller than the sum of its proper divisors (52912320).

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

30042048 is a wasteful number, since it uses less digits than its factorization.

30042048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6841 (or 6831 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 30042048 is about 5481.0626706871. The cubic root of 30042048 is about 310.8683527274.

The spelling of 30042048 in words is "thirty million, forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 6803 13606 20409 27212 40818 54424 81636 108848 156469 163272 217696 312938 326544 435392 469407 625876 653088 938814 1251752 1306176 1877628 2503504 3755256 5007008 7510512 10014016 15021024 30042048