Search a number
-
+
4912221808 = 24131731411093
BaseRepresentation
bin1001001001100101…
…01000111001110000
3110200100012201112001
410210302220321300
540030012044213
62131233543344
7232505124244
oct44462507160
913610181461
104912221808
1120a0903a4a
12b51114b54
13603907030
14348572424
151db3b81dd
hex124ca8e70

4912221808 has 160 divisors (see below), whose sum is σ = 11486264832. Its totient is φ = 2012774400.

The previous prime is 4912221799. The next prime is 4912221851. The reversal of 4912221808 is 8081222194.

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, 4493710 + ... + 4494802.

Almost surely, 24912221808 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 4912221808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743132416).

4912221808 is an abundant number, since it is smaller than the sum of its proper divisors (6574043024).

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

4912221808 is a wasteful number, since it uses less digits than its factorization.

4912221808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 4912221808 is about 70087.2442602789. The cubic root of 4912221808 is about 1699.9102383978.

The spelling of 4912221808 in words is "four billion, nine hundred twelve million, two hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 17 26 31 34 41 52 62 68 82 104 124 136 164 208 221 248 272 328 403 442 496 527 533 656 697 806 884 1054 1066 1093 1271 1394 1612 1768 2108 2132 2186 2542 2788 3224 3536 4216 4264 4372 5084 5576 6448 6851 8432 8528 8744 9061 10168 11152 13702 14209 16523 17488 18122 18581 20336 21607 27404 28418 33046 33883 36244 37162 43214 44813 54808 56836 66092 67766 72488 74324 86428 89626 109616 113672 132184 135532 144976 148648 172856 179252 227344 241553 264368 271064 280891 297296 345712 358504 440479 483106 542128 561782 576011 582569 717008 761821 880958 966212 1123564 1152022 1165138 1389203 1523642 1761916 1932424 2247128 2304044 2330276 2778406 3047284 3523832 3864848 4494256 4608088 4660552 5556812 6094568 7047664 7488143 9216176 9321104 9903673 11113624 12189136 14976286 18059639 19807346 22227248 23616451 29952572 36119278 39614692 47232902 59905144 72238556 79229384 94465804 119810288 144477112 158458768 188931608 288954224 307013863 377863216 614027726 1228055452 2456110904 4912221808