Search a number
-
+
3058643025 = 345212292
BaseRepresentation
bin1011011001001111…
…0011000001010001
321220011101011110000
42312103303001101
522231003034100
61223301200213
7135540015414
oct26623630121
97804334400
103058643025
11132a584859
12714400069
133998a7959
1421030db7b
1512d7c9900
hexb64f3051

3058643025 has 45 divisors (see below), whose sum is σ = 5670277921. Its totient is φ = 1629948960.

The previous prime is 3058643011. The next prime is 3058643033. The reversal of 3058643025 is 5203468503.

It is a happy number.

The square root of 3058643025 is 55305.

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

3058643025 is a `hidden beast` number, since 3 + 0 + 5 + 8 + 643 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 779917329 + 2278725696 = 27927^2 + 47736^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3058643025 - 29 = 3058642513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2488111 + ... + 2489339.

Almost surely, 23058643025 is an apocalyptic number.

3058643025 is the 55305-th square number.

3058643025 is the 27653-rd centered octagonal number.

It is an amenable number.

3058643025 is a deficient number, since it is larger than the sum of its proper divisors (2611634896).

3058643025 is an frugal number, since it uses more digits than its factorization.

3058643025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The cubic root of 3058643025 is about 1451.5865353382.

Multiplying 3058643025 by its sum of digits (36), we get a square (110111148900 = 3318302).

The spelling of 3058643025 in words is "three billion, fifty-eight million, six hundred forty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1229 2025 3687 6145 11061 18435 30725 33183 55305 92175 99549 165915 276525 497745 829575 1510441 2488725 4531323 7552205 13593969 22656615 37761025 40781907 67969845 113283075 122345721 203909535 339849225 611728605 1019547675 3058643025