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42908222449 = 35925772
BaseRepresentation
bin100111111101100001…
…111000001111110001
311002202100101112201001
4213331201320033301
51200334001104244
631413424042001
73046206605311
oct477541701761
9132670345631
1042908222449
1117219633674
128395a63301
13407a741a51
142110923441
1511b1e9c5d4
hex9fd8783f1

42908222449 has 9 divisors (see below), whose sum is σ = 43102778187. Its totient is φ = 42714543744.

The previous prime is 42908222429. The next prime is 42908222501. The reversal of 42908222449 is 94422280924.

The square root of 42908222449 is 207143.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42611280625 + 296941824 = 206425^2 + 17232^2 .

It is not a de Polignac number, because 42908222449 - 217 = 42908091377 is a prime.

It is a super-2 number, since 2×429082224492 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42908222399 and 42908222408.

It is not an unprimeable number, because it can be changed into a prime (42908222429) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74364049 + ... + 74364625.

Almost surely, 242908222449 is an apocalyptic number.

42908222449 is the 207143-rd square number.

42908222449 is the 103572-nd centered octagonal number.

It is an amenable number.

42908222449 is a deficient number, since it is larger than the sum of its proper divisors (194555738).

42908222449 is an frugal number, since it uses more digits than its factorization.

42908222449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 42908222449 in words is "forty-two billion, nine hundred eight million, two hundred twenty-two thousand, four hundred forty-nine".

Divisors: 1 359 577 128881 207143 332929 74364337 119521511 42908222449