Search a number
-
+
5139824625 = 345313172297
BaseRepresentation
bin1001100100101101…
…10111111111110001
3111021012111010220000
410302112313333301
541011243342000
62210004140213
7241240534305
oct46226677761
914235433800
105139824625
1121a832a351
12bb5397669
1363bb07160
1436a89bd05
15201376000
hex1325b7ff1

5139824625 has 160 divisors (see below), whose sum is σ = 10931016096. Its totient is φ = 2380492800.

The previous prime is 5139824603. The next prime is 5139824629. The reversal of 5139824625 is 5264289315.

5139824625 is a `hidden beast` number, since 5 + 13 + 9 + 8 + 2 + 4 + 625 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3914754624 + 1225070001 = 62568^2 + 35001^2 .

It is not a de Polignac number, because 5139824625 - 26 = 5139824561 is a prime.

It is a super-3 number, since 3×51398246253 (a number of 30 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5139824629) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2236477 + ... + 2238773.

Almost surely, 25139824625 is an apocalyptic number.

It is an amenable number.

5139824625 is an abundant number, since it is smaller than the sum of its proper divisors (5791191471).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5139824625 is a wasteful number, since it uses less digits than its factorization.

5139824625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2354 (or 2335 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 5139824625 is about 71692.5702217461. The cubic root of 5139824625 is about 1725.7694110178.

The spelling of 5139824625 in words is "five billion, one hundred thirty-nine million, eight hundred twenty-four thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 27 39 45 51 65 75 81 85 117 125 135 153 195 221 225 255 325 351 375 405 425 459 585 663 675 765 975 1053 1105 1125 1275 1377 1625 1755 1989 2025 2125 2295 2297 2925 3315 3375 3825 4875 5265 5525 5967 6375 6885 6891 8775 9945 10125 11475 11485 14625 16575 17901 19125 20673 26325 27625 29835 29861 34425 34455 39049 43875 49725 57375 57425 62019 82875 89505 89583 103365 117147 131625 149175 149305 172125 172275 186057 195245 248625 268749 287125 310095 351441 447525 447915 507637 516825 585735 745875 746525 806247 861375 930285 976225 1054323 1343745 1522911 1550475 1757205 2237625 2239575 2418741 2538185 2584125 2928675 3162969 3732625 4031235 4568733 4651425 4881125 5271615 6718725 7614555 7752375 8786025 11197875 12093705 12690925 13706199 14643375 15814845 20156175 22843665 23257125 26358075 33593625 38072775 41118597 43930125 60468525 63454625 68530995 79074225 100780875 114218325 131790375 190363875 205592985 302342625 342654975 395371125 571091625 1027964925 1713274875 5139824625