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3026292906 = 23713191272297
BaseRepresentation
bin1011010001100001…
…1001000010101010
321210220111121102110
42310120121002222
522144212333111
61220143543150
7134665031250
oct26430310252
97726447373
103026292906
11131329971a
127055baab6
13392c8c080
14209ccc5d0
1512aa395a6
hexb46190aa

3026292906 has 128 divisors (see below), whose sum is σ = 7906590720. Its totient is φ = 749855232.

The previous prime is 3026292901. The next prime is 3026292911. The reversal of 3026292906 is 6092926203.

It is an interprime number because it is at equal distance from previous prime (3026292901) and next prime (3026292911).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3026292901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316350 + ... + 1318646.

It is an arithmetic number, because the mean of its divisors is an integer number (61770240).

Almost surely, 23026292906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3026292906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953295360).

3026292906 is an abundant number, since it is smaller than the sum of its proper divisors (4880297814).

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

3026292906 is a wasteful number, since it uses less digits than its factorization.

3026292906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3026292906 is about 55011.7524352751. The cubic root of 3026292906 is about 1446.4507575473.

The spelling of 3026292906 in words is "three billion, twenty-six million, two hundred ninety-two thousand, nine hundred six".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 127 133 182 247 254 266 273 381 399 494 546 741 762 798 889 1482 1651 1729 1778 2297 2413 2667 3302 3458 4594 4826 4953 5187 5334 6891 7239 9906 10374 11557 13782 14478 16079 16891 23114 29861 31369 32158 33782 34671 43643 48237 50673 59722 62738 69342 87286 89583 94107 96474 101346 130929 179166 188214 209027 219583 261858 291719 305501 418054 439166 567359 583438 611002 627081 658749 875157 916503 1134718 1254162 1317498 1702077 1750314 1833006 2042033 3404154 3792347 3971513 4084066 5542661 6126099 7584694 7943026 11085322 11377041 11914539 12252198 16627983 22754082 23829078 26546429 33255966 38798627 53092858 72054593 77597254 79639287 116395881 144109186 159278574 216163779 232791762 432327558 504382151 1008764302 1513146453 3026292906