Search a number
-
+
5800389375 = 354111771233
BaseRepresentation
bin1010110011011101…
…01110101011111111
3112222020110022101010
411121232232223333
543334344430000
62355322250303
7263511332124
oct53156565377
915866408333
105800389375
112507194430
12115a656993
13715919a81
143d04cc74b
1523e358d50
hex159baeaff

5800389375 has 160 divisors (see below), whose sum is σ = 11368760832. Its totient is φ = 2598400000.

The previous prime is 5800389373. The next prime is 5800389401. The reversal of 5800389375 is 5739830085.

It is a happy number.

5800389375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5800389375 - 21 = 5800389373 is a prime.

It is a super-2 number, since 2×58003893752 = 67289033803225781250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800389373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24894259 + ... + 24894491.

Almost surely, 25800389375 is an apocalyptic number.

5800389375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5800389375 is a deficient number, since it is larger than the sum of its proper divisors (5568371457).

5800389375 is a wasteful number, since it uses less digits than its factorization.

5800389375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The square root of 5800389375 is about 76160.2873878506. The cubic root of 5800389375 is about 1796.7419846086.

The spelling of 5800389375 in words is "five billion, eight hundred million, three hundred eighty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 11 15 17 25 33 51 55 71 75 85 125 165 187 213 233 255 275 355 375 425 561 625 699 781 825 935 1065 1165 1207 1275 1375 1775 1875 2125 2343 2563 2805 3495 3621 3905 3961 4125 4675 5325 5825 6035 6375 6875 7689 8875 10625 11715 11883 12815 13277 14025 16543 17475 18105 19525 19805 20625 23375 26625 29125 30175 31875 38445 39831 43571 44375 49629 58575 59415 64075 66385 70125 82715 87375 90525 97625 99025 116875 130713 133125 145625 150875 181973 192225 199155 217855 248145 281231 292875 297075 320375 331925 350625 413575 436875 452625 488125 495125 545919 653565 754375 843693 909865 961125 995775 1089275 1240725 1406155 1464375 1485375 1601875 1659625 2067875 2263125 2475625 2729595 3093541 3267825 4218465 4549325 4805625 4978875 5446375 6203625 7030775 7426875 8298125 9280623 10339375 13647975 15467705 16339125 21092325 22746625 24894375 27231875 31018125 35153875 46403115 68239875 77338525 81695625 105461625 113733125 175769375 232015575 341199375 386692625 527308125 1160077875 1933463125 5800389375