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4097543226 = 2372916320639
BaseRepresentation
bin1111010000111011…
…1000110000111010
3101120120020202121020
43310032320300322
531342432340401
61514332323310
7203353354110
oct36416706072
911516222536
104097543226
111812a57967
12964313536
13503bb4bba
142ac2a5ab0
1518eae1d36
hexf43b8c3a

4097543226 has 64 divisors (see below), whose sum is σ = 9748684800. Its totient is φ = 1123367616.

The previous prime is 4097543221. The next prime is 4097543227. The reversal of 4097543226 is 6223457904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4097543221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 188215 + ... + 208853.

It is an arithmetic number, because the mean of its divisors is an integer number (152323200).

Almost surely, 24097543226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097543226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874342400).

4097543226 is an abundant number, since it is smaller than the sum of its proper divisors (5651141574).

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

4097543226 is a wasteful number, since it uses less digits than its factorization.

4097543226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20843.

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 4097543226 is about 64012.0553177290. The cubic root of 4097543226 is about 1600.2009156549.

The spelling of 4097543226 in words is "four billion, ninety-seven million, five hundred forty-three thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 163 174 203 326 406 489 609 978 1141 1218 2282 3423 4727 6846 9454 14181 20639 28362 33089 41278 61917 66178 99267 123834 144473 198534 288946 433419 598531 866838 1197062 1795593 3364157 3591186 4189717 6728314 8379434 10092471 12569151 20184942 23549099 25138302 47098198 70647297 97560553 141294594 195121106 292681659 585363318 682923871 1365847742 2048771613 4097543226