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4003219441 = 1323121572
BaseRepresentation
bin1110111010011100…
…0100011111110001
3101022222202121200201
43232213010133301
531144311010231
61501122515201
7201126542464
oct35647043761
911288677621
104003219441
111774793021
12938805b01
134ba4aac00
1429d9512db
151866ae161
hexee9c47f1

4003219441 has 27 divisors (see below), whose sum is σ = 4507903233. Its totient is φ = 3553299360.

The previous prime is 4003219433. The next prime is 4003219447. The reversal of 4003219441 is 1449123004.

The square root of 4003219441 is 63271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1290893041 + 2712326400 = 35929^2 + 52080^2 .

It is not a de Polignac number, because 4003219441 - 23 = 4003219433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4003219447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25498135 + ... + 25498291.

It is an arithmetic number, because the mean of its divisors is an integer number (166959379).

Almost surely, 24003219441 is an apocalyptic number.

4003219441 is the 63271-st square number.

4003219441 is the 31636-th centered octagonal number.

It is an amenable number.

4003219441 is a deficient number, since it is larger than the sum of its proper divisors (504683792).

4003219441 is an equidigital number, since it uses as much as digits as its factorization.

4003219441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The cubic root of 4003219441 is about 1587.8268164308.

The spelling of 4003219441 in words is "four billion, three million, two hundred nineteen thousand, four hundred forty-one".

Divisors: 1 13 31 157 169 403 961 2041 4867 5239 12493 24649 26533 63271 150877 162409 320437 764119 822523 1961401 4165681 9933547 23687689 25498213 129136111 307939957 4003219441