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4420441452 = 2237431378933
BaseRepresentation
bin1000001110111101…
…01001010101101100
3102102001211200200210
410013132221111230
533023113111302
62010345222420
7214354063260
oct40736512554
912361750623
104420441452
1119692510a9
12a34491a10
13555a6c33b
142dd11a0a0
151ad12566c
hex1077a956c

4420441452 has 96 divisors (see below), whose sum is σ = 12151383552. Its totient is φ = 1224470016.

The previous prime is 4420441451. The next prime is 4420441453. The reversal of 4420441452 is 2541440244.

It is an interprime number because it is at equal distance from previous prime (4420441451) and next prime (4420441453).

It is not an unprimeable number, because it can be changed into a prime (4420441451) 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 31 ways as a sum of consecutive naturals, for example, 490378 + ... + 499310.

It is an arithmetic number, because the mean of its divisors is an integer number (126576912).

Almost surely, 24420441452 is an apocalyptic number.

4420441452 is a gapful number since it is divisible by the number (42) 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 4420441452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075691776).

4420441452 is an abundant number, since it is smaller than the sum of its proper divisors (7730942100).

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

4420441452 is a wasteful number, since it uses less digits than its factorization.

4420441452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9127 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4420441452 is about 66486.4005041633. The cubic root of 4420441452 is about 1641.1762150063.

Adding to 4420441452 its reverse (2541440244), we get a palindrome (6961881696).

The spelling of 4420441452 in words is "four billion, four hundred twenty million, four hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 137 172 258 274 301 411 516 548 602 822 903 959 1204 1644 1806 1918 2877 3612 3836 5754 5891 8933 11508 11782 17673 17866 23564 26799 35346 35732 41237 53598 62531 70692 82474 107196 123711 125062 164948 187593 247422 250124 375186 384119 494844 750372 768238 1152357 1223821 1536476 2304714 2447642 2688833 3671463 4609428 4895284 5377666 7342926 8066499 8566747 10755332 14685852 16132998 17133494 25700241 32265996 34266988 51400482 52624303 102800964 105248606 157872909 210497212 315745818 368370121 631491636 736740242 1105110363 1473480484 2210220726 4420441452