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4248207488 = 27728232
BaseRepresentation
bin1111110100110110…
…1000000010000000
3101222001202022010002
43331031220002000
532200020114423
61541313455132
7210163111400
oct37515500200
911861668102
104248207488
111890003188
129a68714a8
13529187255
142c42c4800
1519ce53228
hexfd368080

4248207488 has 72 divisors (see below), whose sum is σ = 9856953855. Its totient is φ = 1818448128.

The previous prime is 4248207487. The next prime is 4248207533. The reversal of 4248207488 is 8847028424.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2124103744 + 2124103744 = 46088^2 + 46088^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46088.

It is a super-2 number, since 2×42482074882 = 36094533722198540288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4248207487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5161445 + ... + 5162267.

Almost surely, 24248207488 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 4248207488

4248207488 is an abundant number, since it is smaller than the sum of its proper divisors (5608746367).

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

4248207488 is an frugal number, since it uses more digits than its factorization.

4248207488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 47.

The square root of 4248207488 is about 65178.2746626512. The cubic root of 4248207488 is about 1619.5781414376.

The spelling of 4248207488 in words is "four billion, two hundred forty-eight million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 823 896 1568 1646 3136 3292 5761 6272 6584 11522 13168 23044 26336 40327 46088 52672 80654 92176 105344 161308 184352 322616 368704 645232 677329 737408 1290464 1354658 2580928 2709316 4741303 5161856 5418632 9482606 10837264 18965212 21674528 33189121 37930424 43349056 66378242 75860848 86698112 132756484 151721696 265512968 303443392 531025936 606886784 1062051872 2124103744 4248207488