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2417325872 = 241331137369
BaseRepresentation
bin1001000000010101…
…0111011100110000
320020110121212200212
42100011113130300
514422313411442
61035511403252
7113621634203
oct22005273460
96213555625
102417325872
111030576785
12575683528
132c6a73b50
1418d08d93a
15e2349a82
hex90157730

2417325872 has 40 divisors (see below), whose sum is σ = 5060196960. Its totient is φ = 1112071680.

The previous prime is 2417325871. The next prime is 2417325893. The reversal of 2417325872 is 2785237142.

It is not an unprimeable number, because it can be changed into a prime (2417325871) 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, 46004 + ... + 83372.

It is an arithmetic number, because the mean of its divisors is an integer number (126504924).

Almost surely, 22417325872 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 2417325872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530098480).

2417325872 is an abundant number, since it is smaller than the sum of its proper divisors (2642871088).

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

2417325872 is a wasteful number, since it uses less digits than its factorization.

2417325872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37701 (or 37695 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 2417325872 is about 49166.3083015188. The cubic root of 2417325872 is about 1342.0799864668.

The spelling of 2417325872 in words is "two billion, four hundred seventeen million, three hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 311 622 1244 2488 4043 4976 8086 16172 32344 37369 64688 74738 149476 298952 485797 597904 971594 1943188 3886376 7772752 11621759 23243518 46487036 92974072 151082867 185948144 302165734 604331468 1208662936 2417325872