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8442425538 = 23229412331693
BaseRepresentation
bin1111101110011010…
…10011000011000010
3210210100220122122100
413313031103003002
5114242230104123
63513422251230
7416132301351
oct76715230302
923710818570
108442425538
113642590298
121777426b16
13a470ba291
145a1353998
1534628e643
hex1f73530c2

8442425538 has 96 divisors (see below), whose sum is σ = 19478899440. Its totient is φ = 2637895680.

The previous prime is 8442425501. The next prime is 8442425543. The reversal of 8442425538 is 8355242448.

It can be written as a sum of positive squares in 8 ways, for example, as 720761409 + 7721664129 = 26847^2 + 87873^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 8442425493 and 8442425502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4985820 + ... + 4987512.

Almost surely, 28442425538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8442425538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739449720).

8442425538 is an abundant number, since it is smaller than the sum of its proper divisors (11036473902).

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

8442425538 is a wasteful number, since it uses less digits than its factorization.

8442425538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 2001 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 45.

The square root of 8442425538 is about 91882.6726755377. The cubic root of 8442425538 is about 2036.2092825591.

The spelling of 8442425538 in words is "eight billion, four hundred forty-two million, four hundred twenty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 233 246 261 369 466 522 699 738 1189 1398 1693 2097 2378 3386 3567 4194 5079 6757 7134 9553 10158 10701 13514 15237 19106 20271 21402 28659 30474 40542 49097 57318 60813 69413 85977 98194 121626 138826 147291 171954 208239 277037 294582 394469 416478 441873 554074 624717 788938 831111 883746 1183407 1249434 1662222 2012977 2366814 2493333 3550221 4025954 4986666 6038931 7100442 11439601 12077862 16173229 18116793 22879202 32346458 34318803 36233586 48519687 68637606 97039374 102956409 145559061 205912818 291118122 469023641 938047282 1407070923 2814141846 4221212769 8442425538