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1098410049 = 321124173337
BaseRepresentation
bin100000101111000…
…0110100001000001
32211112212000022200
41001132012201001
54222143110144
6300554423413
736135221442
oct10136064101
92745760280
101098410049
11514029800
12267a31b69
13146745099
14a5c472c9
156666ec69
hex41786841

1098410049 has 72 divisors (see below), whose sum is σ = 1816321416. Its totient is φ = 638668800.

The previous prime is 1098410039. The next prime is 1098410087. The reversal of 1098410049 is 9400148901.

It can be written as a sum of positive squares in 4 ways, for example, as 680625 + 1097729424 = 825^2 + 33132^2 .

It is not a de Polignac number, because 1098410049 - 29 = 1098409537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1098409995 and 1098410022.

It is not an unprimeable number, because it can be changed into a prime (1098410039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3259209 + ... + 3259545.

Almost surely, 21098410049 is an apocalyptic number.

It is an amenable number.

1098410049 is a deficient number, since it is larger than the sum of its proper divisors (717911367).

1098410049 is a wasteful number, since it uses less digits than its factorization.

1098410049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1098410049 is about 33142.2698226902. The cubic root of 1098410049 is about 1031.7825196354.

The spelling of 1098410049 in words is "one billion, ninety-eight million, four hundred ten thousand, forty-nine".

Divisors: 1 3 9 11 33 41 73 99 121 123 219 337 363 369 451 657 803 1011 1089 1353 2409 2993 3033 3707 4059 4961 7227 8833 8979 11121 13817 14883 24601 26499 26937 32923 33363 40777 41451 44649 73803 79497 98769 122331 124353 151987 221409 270611 296307 362153 366993 455961 811833 1008641 1086459 1367883 1671857 2435499 2976721 3025923 3259377 5015571 8930163 9077769 11095051 15046713 26790489 33285153 99855459 122045561 366136683 1098410049