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5279039649 = 310132232
BaseRepresentation
bin1001110101010011…
…11100000010100001
3111121220110000000000
410322221330002201
541302413232044
62231500050213
7244551045102
oct47251740241
914556400000
105279039649
112269975694
121033b33969
136618cb100
1438117a3a9
1520d6c4d69
hex13aa7c0a1

5279039649 has 99 divisors (see below), whose sum is σ = 8963499027. Its totient is φ = 3107394576.

The previous prime is 5279039617. The next prime is 5279039651. The reversal of 5279039649 is 9469309725.

The square root of 5279039649 is 72657.

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., 780923025 + 4498116624 = 27945^2 + 67068^2 .

It is not a de Polignac number, because 5279039649 - 25 = 5279039617 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5279039595 and 5279039604.

It is not an unprimeable number, because it can be changed into a prime (5279039149) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 229523452 + ... + 229523474.

Almost surely, 25279039649 is an apocalyptic number.

5279039649 is the 72657-th square number.

5279039649 is the 36329-th centered octagonal number.

It is an amenable number.

5279039649 is a deficient number, since it is larger than the sum of its proper divisors (3684459378).

5279039649 is an frugal number, since it uses more digits than its factorization.

5279039649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The cubic root of 5279039649 is about 1741.2119588511.

The spelling of 5279039649 in words is "five billion, two hundred seventy-nine million, thirty-nine thousand, six hundred forty-nine".

Divisors: 1 3 9 13 23 27 39 69 81 117 169 207 243 299 351 507 529 621 729 897 1053 1521 1587 1863 2187 2691 3159 3887 4563 4761 5589 6561 6877 8073 9477 11661 13689 14283 16767 19683 20631 24219 28431 34983 41067 42849 50301 59049 61893 72657 85293 89401 104949 123201 128547 150903 185679 217971 255879 268203 314847 369603 385641 452709 557037 653913 767637 804609 944541 1108809 1156923 1358127 1671111 1961739 2413827 2833623 3326427 3470769 5013333 5885217 7241481 8500869 9979281 10412307 15039999 17655651 21724443 25502607 31236921 45119997 65173329 76507821 135359991 195519987 229523463 406079973 586559961 1759679883 5279039649