Search a number
-
+
4161601024 = 29741127223
BaseRepresentation
bin1111100000001100…
…1111111000000000
3101202000210020101021
43320003033320000
532010332213044
61524541315224
7205062011410
oct37003177000
911660706337
104161601024
11184612a499
12981865b14
13514252b19
142b69bc640
15195546e84
hexf80cfe00

4161601024 has 160 divisors (see below), whose sum is σ = 9855369216. Its totient is φ = 1718599680.

The previous prime is 4161600977. The next prime is 4161601033. The reversal of 4161601024 is 4201061614.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4161601024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18661777 + ... + 18661999.

Almost surely, 24161601024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161601024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4927684608).

4161601024 is an abundant number, since it is smaller than the sum of its proper divisors (5693768192).

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

4161601024 is a wasteful number, since it uses less digits than its factorization.

4161601024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4161601024 is about 64510.4722041313. The cubic root of 4161601024 is about 1608.4965999995.

Adding to 4161601024 its reverse (4201061614), we get a palindrome (8362662638).

The spelling of 4161601024 in words is "four billion, one hundred sixty-one million, six hundred one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 127 128 164 223 224 254 256 287 328 446 448 508 512 574 656 889 892 896 1016 1148 1312 1561 1778 1784 1792 2032 2296 2624 3122 3556 3568 3584 4064 4592 5207 5248 6244 7112 7136 8128 9143 9184 10414 10496 12488 14224 14272 16256 18286 18368 20828 20992 24976 28321 28448 28544 32512 36449 36572 36736 41656 49952 56642 56896 57088 64001 65024 72898 73144 73472 83312 99904 113284 113792 114176 128002 145796 146288 146944 166624 198247 199808 226568 227584 256004 291592 292576 333248 396494 399616 453136 455168 512008 583184 585152 666496 792988 799232 906272 1024016 1161161 1166368 1170304 1332992 1585976 1812544 2048032 2322322 2332736 2340608 2665984 3171952 3625088 4096064 4644644 4665472 4681216 6343904 7250176 8128127 8192128 9289288 9330944 12687808 14500352 16256254 16384256 18578576 18661888 25375616 32512508 32768512 37157152 50751232 65025016 74314304 101502464 130050032 148628608 260100064 297257216 520200128 594514432 1040400256 2080800512 4161601024