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4843742409 = 34112192372
BaseRepresentation
bin1001000001011010…
…11010010011001001
3110111120100121110000
410200231122103021
534404444224114
62120350113213
7231014062662
oct44055322311
913446317400
104843742409
112066191400
12b321ab809
135c267b68c
1433d428369
151d538ce09
hex120b5a4c9

4843742409 has 135 divisors (see below), whose sum is σ = 8626926231. Its totient is φ = 2705931360.

The previous prime is 4843742389. The next prime is 4843742441. The reversal of 4843742409 is 9042473484.

The square root of 4843742409 is 69597.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4334247225 + 509495184 = 65835^2 + 22572^2 .

It is not a de Polignac number, because 4843742409 - 29 = 4843741897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4843746409) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 130911939 + ... + 130911975.

Almost surely, 24843742409 is an apocalyptic number.

4843742409 is the 69597-th square number.

4843742409 is the 34799-th centered octagonal number.

It is an amenable number.

4843742409 is a deficient number, since it is larger than the sum of its proper divisors (3783183822).

4843742409 is a wasteful number, since it uses less digits than its factorization.

4843742409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 70 counting only the distinct ones).

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

The cubic root of 4843742409 is about 1691.9739791532.

The spelling of 4843742409 in words is "four billion, eight hundred forty-three million, seven hundred forty-two thousand, four hundred nine".

Divisors: 1 3 9 11 19 27 33 37 57 81 99 111 121 171 209 297 333 361 363 407 513 627 703 891 999 1083 1089 1221 1369 1539 1881 2109 2299 2997 3249 3267 3663 3971 4107 4477 5643 6327 6897 7733 9747 9801 10989 11913 12321 13357 13431 15059 16929 18981 20691 23199 26011 29241 32967 35739 36963 40071 40293 43681 45177 56943 62073 69597 78033 85063 107217 110889 120213 120879 131043 135531 146927 165649 186219 208791 234099 255189 286121 321651 360639 362637 393129 406593 440781 494209 496947 626373 702297 765567 858363 1081917 1179387 1219779 1322343 1482627 1490841 1616197 2106891 2296701 2575089 3147331 3538161 3967029 4447881 4472523 4848591 5436299 6890103 7725267 9441993 11901087 13343643 13417569 14545773 16308897 23175801 28325979 40030929 43637319 48926691 59799289 84977937 130911957 146780073 179397867 254933811 440340219 538193601 1614580803 4843742409