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24142848 = 210329271
BaseRepresentation
bin101110000011…
…0010000000000
31200102120202120
41130012100000
522140032343
62221244240
7412132212
oct134062000
950376676
1024142848
111269a974
128103680
135004012
1432c65b2
1521bd683
hex1706400

24142848 has 88 divisors (see below), whose sum is σ = 66814080. Its totient is φ = 7741440.

The previous prime is 24142843. The next prime is 24142871. The reversal of 24142848 is 84824142.

It is a super-2 number, since 2×241428482 = 1165754219102208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (24142841) 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 7 ways as a sum of consecutive naturals, for example, 88953 + ... + 89223.

Almost surely, 224142848 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 24142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33407040).

24142848 is an abundant number, since it is smaller than the sum of its proper divisors (42671232).

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

24142848 is a wasteful number, since it uses less digits than its factorization.

24142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 24142848 is about 4913.5372187458. The cubic root of 24142848 is about 289.0210670179.

The spelling of 24142848 in words is "twenty-four million, one hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 271 348 384 464 512 542 696 768 813 928 1024 1084 1392 1536 1626 1856 2168 2784 3072 3252 3712 4336 5568 6504 7424 7859 8672 11136 13008 14848 15718 17344 22272 23577 26016 29696 31436 34688 44544 47154 52032 62872 69376 89088 94308 104064 125744 138752 188616 208128 251488 277504 377232 416256 502976 754464 832512 1005952 1508928 2011904 3017856 4023808 6035712 8047616 12071424 24142848