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2002442848 = 25727132987
BaseRepresentation
bin111011101011010…
…1101101001100000
312011112221122011221
41313112231221200
513100111132343
6530411144424
7100423324540
oct16726555140
95145848157
102002442848
11938365a4a
1247a745114
1325bb21233
1414dd33320
15babe65ed
hex775ada60

2002442848 has 48 divisors (see below), whose sum is σ = 4522258944. Its totient is φ = 854997120.

The previous prime is 2002442843. The next prime is 2002442917. The reversal of 2002442848 is 8482442002.

It is a happy number.

It is a super-2 number, since 2×20024428482 = 8019554719012702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002442843) 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 7 ways as a sum of consecutive naturals, for example, 44211 + ... + 77197.

It is an arithmetic number, because the mean of its divisors is an integer number (94213728).

Almost surely, 22002442848 is an apocalyptic number.

2002442848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002442848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261129472).

2002442848 is an abundant number, since it is smaller than the sum of its proper divisors (2519816096).

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

2002442848 is a wasteful number, since it uses less digits than its factorization.

2002442848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33275 (or 33267 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 2002442848 is about 44748.6630861750. The cubic root of 2002442848 is about 1260.4338071230.

The spelling of 2002442848 in words is "two billion, two million, four hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 271 542 1084 1897 2168 3794 4336 7588 8672 15176 30352 32987 60704 65974 131948 230909 263896 461818 527792 923636 1055584 1847272 3694544 7389088 8939477 17878954 35757908 62576339 71515816 125152678 143031632 250305356 286063264 500610712 1001221424 2002442848