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2445552416 = 25431799929
BaseRepresentation
bin1001000111000100…
…0010101100100000
320022102201221020102
42101301002230200
520002030134131
61042400401532
7114413565266
oct22161025440
96272657212
102445552416
1110454a57aa
125830162a8
132cc877848
14192b1a436
15e4a731cb
hex91c42b20

2445552416 has 48 divisors (see below), whose sum is σ = 4954672800. Its totient is φ = 1187547648.

The previous prime is 2445552401. The next prime is 2445552427. The reversal of 2445552416 is 6142555442.

It is a self number, because there is not a number n which added to its sum of digits gives 2445552416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241340 + ... + 251268.

It is an arithmetic number, because the mean of its divisors is an integer number (103222350).

Almost surely, 22445552416 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 2445552416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477336400).

2445552416 is an abundant number, since it is smaller than the sum of its proper divisors (2509120384).

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

2445552416 is a wasteful number, since it uses less digits than its factorization.

2445552416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10153 counting only the distinct ones).

The product of its digits is 192000, while the sum is 38.

The square root of 2445552416 is about 49452.5268919597. The cubic root of 2445552416 is about 1347.2835024494.

The spelling of 2445552416 in words is "two billion, four hundred forty-five million, five hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 43 86 172 179 344 358 688 716 1376 1432 2864 5728 7697 9929 15394 19858 30788 39716 61576 79432 123152 158864 246304 317728 426947 853894 1707788 1777291 3415576 3554582 6831152 7109164 13662304 14218328 28436656 56873312 76423513 152847026 305694052 611388104 1222776208 2445552416