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5790449025 = 3452192892
BaseRepresentation
bin1010110010010001…
…10011110110000001
3112221112202021210000
411121020303312001
543324323332100
62354325230213
7263331001404
oct53110636601
915845667700
105790449025
112501615069
121157262369
137138493ca
143cd061d3b
1523d543900
hex159233d81

5790449025 has 135 divisors (see below), whose sum is σ = 11448768441. Its totient is φ = 2892827520.

The previous prime is 5790449023. The next prime is 5790449059. The reversal of 5790449025 is 5209440975.

The square root of 5790449025 is 76095.

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

5790449025 is a `hidden beast` number, since 57 + 90 + 4 + 490 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1204992369 + 4585456656 = 34713^2 + 67716^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5790449025 - 21 = 5790449023 is a prime.

It is a super-2 number, since 2×57904490252 = 67058599822246901250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5790449023) 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, 65061181 + ... + 65061269.

Almost surely, 25790449025 is an apocalyptic number.

5790449025 is the 76095-th square number.

5790449025 is the 38048-th centered octagonal number.

It is an amenable number.

5790449025 is a deficient number, since it is larger than the sum of its proper divisors (5658319416).

5790449025 is an equidigital number, since it uses as much as digits as its factorization.

5790449025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The cubic root of 5790449025 is about 1795.7150158224.

It can be divided in two parts, 57904 and 49025, that added together give a square (106929 = 3272).

The spelling of 5790449025 in words is "five billion, seven hundred ninety million, four hundred forty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 19 25 27 45 57 75 81 89 95 135 171 225 267 285 361 405 445 475 513 675 801 855 1083 1335 1425 1539 1691 1805 2025 2225 2403 2565 3249 4005 4275 5073 5415 6675 7209 7695 7921 8455 9025 9747 12015 12825 15219 16245 20025 23763 25365 27075 29241 32129 36045 38475 39605 42275 45657 48735 60075 71289 76095 81225 96387 118815 126825 136971 146205 150499 160645 180225 198025 213867 228285 243675 289161 356445 380475 451497 481935 594075 641601 684855 731025 752495 803225 867483 1069335 1141425 1354491 1445805 1782225 2257485 2409675 2602449 2859481 3208005 3424275 3762475 4063473 4337415 5346675 6772455 7229025 8578443 11287425 12190419 13012245 14297405 16040025 20317365 21687075 25735329 33862275 42892215 60952095 65061225 71487025 77205987 101586825 128676645 214461075 231617961 304760475 386029935 643383225 1158089805 1930149675 5790449025