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4381919488 = 2829220353
BaseRepresentation
bin1000001010010111…
…01100100100000000
3102022101100120111101
410011023230210000
532433232410423
62002451424144
7213405462322
oct40513544400
912271316441
104381919488
11194952aa71
12a235b5054
1354aaa248b
142d7d6d612
151a9a667ad
hex1052ec900

4381919488 has 54 divisors (see below), whose sum is σ = 9059178674. Its totient is φ = 2115305472.

The previous prime is 4381919447. The next prime is 4381919489. The reversal of 4381919488 is 8849191834.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 522031104 + 3859888384 = 22848^2 + 62128^2 .

It is not an unprimeable number, because it can be changed into a prime (4381919489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 205120 + ... + 225472.

Almost surely, 24381919488 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 4381919488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529589337).

4381919488 is an abundant number, since it is smaller than the sum of its proper divisors (4677259186).

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

4381919488 is an equidigital number, since it uses as much as digits as its factorization.

4381919488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427 (or 20384 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 55.

The square root of 4381919488 is about 66196.0685237424. The cubic root of 4381919488 is about 1636.3949524991.

The spelling of 4381919488 in words is "four billion, three hundred eighty-one million, nine hundred nineteen thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 841 928 1682 1856 3364 3712 6728 7424 13456 20353 26912 40706 53824 81412 107648 162824 215296 325648 590237 651296 1180474 1302592 2360948 2605184 4721896 5210368 9443792 17116873 18887584 34233746 37775168 68467492 75550336 136934984 151100672 273869968 547739936 1095479872 2190959744 4381919488