Search a number
-
+
4024410104 = 23111341239359
BaseRepresentation
bin1110111111011111…
…1001111111111000
3101101110122012211002
43233313321333320
531220222110404
61503201024132
7201504631031
oct35767717770
911343565732
104024410104
111785746970
12943925048
134c19ba270
142a26a9a88
15188497c1e
hexefdf9ff8

4024410104 has 128 divisors (see below), whose sum is σ = 9144576000. Its totient is φ = 1635916800.

The previous prime is 4024410079. The next prime is 4024410161. The reversal of 4024410104 is 4010144204.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11209877 + ... + 11210235.

It is an arithmetic number, because the mean of its divisors is an integer number (71442000).

Almost surely, 24024410104 is an apocalyptic number.

4024410104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024410104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288000).

4024410104 is an abundant number, since it is smaller than the sum of its proper divisors (5120165896).

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

4024410104 is a wasteful number, since it uses less digits than its factorization.

4024410104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4024410104 is about 63438.2385001349. The cubic root of 4024410104 is about 1590.6235577530.

Adding to 4024410104 its reverse (4010144204), we get a palindrome (8034554308).

The spelling of 4024410104 in words is "four billion, twenty-four million, four hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 11 13 22 26 41 44 52 82 88 104 143 164 239 286 328 359 451 478 533 572 718 902 956 1066 1144 1436 1804 1912 2132 2629 2872 3107 3608 3949 4264 4667 5258 5863 6214 7898 9334 9799 10516 11726 12428 14719 15796 18668 19598 21032 23452 24856 29438 31592 34177 37336 39196 46904 51337 58876 68354 78392 85801 102674 107789 117752 127387 136708 161909 171602 191347 205348 215578 254774 273416 323818 343204 382694 410696 431156 509548 647636 686408 765388 862312 943811 1019096 1115413 1295272 1401257 1530776 1887622 2104817 2230826 2802514 3517841 3775244 4209634 4461652 5605028 7035682 7550488 8419268 8923304 11210056 12269543 14071364 16838536 24539086 28142728 38696251 45731933 49078172 77392502 91463866 98156344 154785004 182927732 309570008 365855464 503051263 1006102526 2012205052 4024410104