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8442934227 = 32713293111467
BaseRepresentation
bin1111101110011110…
…01111001111010011
3210210101212111102200
413313033033033103
5114242342343402
63513441214243
7416136520410
oct76717171723
923711774380
108442934227
1136428a84a2
121777631383
13a47237990
145a1447107
1534634021c
hex1f73cf3d3

8442934227 has 96 divisors (see below), whose sum is σ = 16029511680. Its totient is φ = 4160782080.

The previous prime is 8442934193. The next prime is 8442934237. The reversal of 8442934227 is 7224392448.

It is a happy number.

It is not a de Polignac number, because 8442934227 - 222 = 8438739923 is a prime.

It is a super-2 number, since 2×84429342272 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8442934237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 730548 + ... + 742014.

It is an arithmetic number, because the mean of its divisors is an integer number (166974080).

Almost surely, 28442934227 is an apocalyptic number.

8442934227 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

8442934227 is a deficient number, since it is larger than the sum of its proper divisors (7586577453).

8442934227 is a wasteful number, since it uses less digits than its factorization.

8442934227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11550 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 8442934227 is about 91885.4407781777. The cubic root of 8442934227 is about 2036.2501782494.

The spelling of 8442934227 in words is "eight billion, four hundred forty-two million, nine hundred thirty-four thousand, two hundred twenty-seven".

Divisors: 1 3 7 9 13 21 29 31 39 63 87 91 93 117 203 217 261 273 279 377 403 609 651 819 899 1131 1209 1827 1953 2639 2697 2821 3393 3627 6293 7917 8091 8463 11467 11687 18879 23751 25389 34401 35061 56637 80269 81809 103203 105183 149071 240807 245427 332543 355477 447213 722421 736281 997629 1043497 1066431 1341639 2327801 2488339 2992887 3130491 3199293 4323059 4621201 6983403 7465017 9391473 10308833 12969177 13863603 20950209 22395051 30261413 30926499 32348407 38907531 41590809 72161831 90784239 92779497 97045221 134014829 216485493 272352717 291135663 402044487 649456479 938103803 1206133461 2814311409 8442934227