Search a number
-
+
4032221004 = 2232716000877
BaseRepresentation
bin1111000001010110…
…1100111101001100
3101102000100001100200
43300111230331030
531224222033004
61504040253500
7201631212240
oct36025547514
911360301320
104032221004
11178a0a1359
12946471290
134c34c35b6
142a3740420
15188edc239
hexf056cf4c

4032221004 has 36 divisors (see below), whose sum is σ = 11648639184. Its totient is φ = 1152063072.

The previous prime is 4032220999. The next prime is 4032221009. The reversal of 4032221004 is 4001222304.

It is an interprime number because it is at equal distance from previous prime (4032220999) and next prime (4032221009).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4032221009) 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 11 ways as a sum of consecutive naturals, for example, 8000187 + ... + 8000690.

Almost surely, 24032221004 is an apocalyptic number.

It is an amenable number.

4032221004 is an abundant number, since it is smaller than the sum of its proper divisors (7616418180).

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

4032221004 is a wasteful number, since it uses less digits than its factorization.

4032221004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000894 (or 16000889 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4032221004 is about 63499.7716846289. The cubic root of 4032221004 is about 1591.6519629037.

Adding to 4032221004 its reverse (4001222304), we get a palindrome (8033443308).

The spelling of 4032221004 in words is "four billion, thirty-two million, two hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 16000877 32001754 48002631 64003508 96005262 112006139 144007893 192010524 224012278 288015786 336018417 448024556 576031572 672036834 1008055251 1344073668 2016110502 4032221004