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4474415104 = 2112975337
BaseRepresentation
bin1000010101011001…
…00010100000000000
3102112211101211121221
410022230202200000
533130422240404
62015554124424
7215610620665
oct41254424000
912484354557
104474415104
111996766325
12a4a580714
13563cb9303
14306369a6c
151b2c37954
hex10ab22800

4474415104 has 48 divisors (see below), whose sum is σ = 9255273300. Its totient is φ = 2160033792.

The previous prime is 4474415093. The next prime is 4474415107. The reversal of 4474415104 is 4015144744.

It can be written as a sum of positive squares in 2 ways, for example, as 4468655104 + 5760000 = 66848^2 + 2400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4474415104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4474415107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21724 + ... + 97060.

Almost surely, 24474415104 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 4474415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4627636650).

4474415104 is an abundant number, since it is smaller than the sum of its proper divisors (4780858196).

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

4474415104 is an equidigital number, since it uses as much as digits as its factorization.

4474415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75388 (or 75368 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

The square root of 4474415104 is about 66891.0689404796. The cubic root of 4474415104 is about 1647.8288068001.

Adding to 4474415104 its reverse (4015144744), we get a palindrome (8489559848).

The spelling of 4474415104 in words is "four billion, four hundred seventy-four million, four hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 7424 14848 29696 59392 75337 150674 301348 602696 1205392 2184773 2410784 4369546 4821568 8739092 9643136 17478184 19286272 34956368 38572544 69912736 77145088 139825472 154290176 279650944 559301888 1118603776 2237207552 4474415104