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4404421504 = 2774999851
BaseRepresentation
bin1000001101000011…
…00010001110000000
3102100221200210110101
410012201202032000
533010012442004
62005014012144
7214100652010
oct40641421600
912327623411
104404421504
1119601aa07a
12a2b047054
13552650692
142dad49c40
151aba0dba4
hex106862380

4404421504 has 64 divisors (see below), whose sum is σ = 10049040000. Its totient is φ = 1883635200.

The previous prime is 4404421367. The next prime is 4404421507. The reversal of 4404421504 is 4051244044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404421507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442179 + ... + 452029.

It is an arithmetic number, because the mean of its divisors is an integer number (157016250).

Almost surely, 24404421504 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 4404421504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5024520000).

4404421504 is an abundant number, since it is smaller than the sum of its proper divisors (5644618496).

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

4404421504 is an equidigital number, since it uses as much as digits as its factorization.

4404421504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4404421504 is about 66365.8157789083. The cubic root of 4404421504 is about 1639.1912411265.

Adding to 4404421504 its reverse (4051244044), we get a palindrome (8455665548).

The spelling of 4404421504 in words is "four billion, four hundred four million, four hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 499 896 998 1996 3493 3992 6986 7984 9851 13972 15968 19702 27944 31936 39404 55888 63872 68957 78808 111776 137914 157616 223552 275828 315232 447104 551656 630464 1103312 1260928 2206624 4413248 4915649 8826496 9831298 19662596 34409543 39325192 68819086 78650384 137638172 157300768 275276344 314601536 550552688 629203072 1101105376 2202210752 4404421504