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441363616 = 25193123417
BaseRepresentation
bin11010010011101…
…010110010100000
31010202111121001121
4122103222302200
51400442113431
6111443542024
713636346251
oct3223526240
91122447047
10441363616
11207158021
1210398a914
1370594a05
1442890b28
1528b34611
hex1a4eaca0

441363616 has 48 divisors (see below), whose sum is σ = 944213760. Its totient is φ = 202314240.

The previous prime is 441363553. The next prime is 441363617. The reversal of 441363616 is 616363144.

It is not an unprimeable number, because it can be changed into a prime (441363617) 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 7 ways as a sum of consecutive naturals, for example, 7140 + ... + 30556.

It is an arithmetic number, because the mean of its divisors is an integer number (19671120).

Almost surely, 2441363616 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 441363616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472106880).

441363616 is an abundant number, since it is smaller than the sum of its proper divisors (502850144).

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

441363616 is a wasteful number, since it uses less digits than its factorization.

441363616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23477 (or 23469 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 441363616 is about 21008.6557399563. The cubic root of 441363616 is about 761.3754041084.

The spelling of 441363616 in words is "four hundred forty-one million, three hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 9424 18848 23417 46834 93668 187336 374672 444923 725927 749344 889846 1451854 1779692 2903708 3559384 5807416 7118768 11614832 13792613 14237536 23229664 27585226 55170452 110340904 220681808 441363616