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104850984 = 2337347271
BaseRepresentation
bin1100011111111…
…10011000101000
321022021222111210
412033332120220
5203320212414
614223153120
72412135000
oct617763050
9238258453
10104850984
1154205107
122b1457a0
1318951804
14dcd5000
159311e59
hex63fe628

104850984 has 128 divisors (see below), whose sum is σ = 313344000. Its totient is φ = 29211840.

The previous prime is 104850971. The next prime is 104851001. The reversal of 104850984 is 489058401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386769 + ... + 387039.

It is an arithmetic number, because the mean of its divisors is an integer number (2448000).

Almost surely, 2104850984 is an apocalyptic number.

104850984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104850984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672000).

104850984 is an abundant number, since it is smaller than the sum of its proper divisors (208493016).

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

104850984 is a wasteful number, since it uses less digits than its factorization.

104850984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 104850984 is about 10239.6769480292. The cubic root of 104850984 is about 471.5461139935.

The spelling of 104850984 in words is "one hundred four million, eight hundred fifty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 49 56 84 94 98 141 147 168 188 196 271 282 294 329 343 376 392 542 564 588 658 686 813 987 1029 1084 1128 1176 1316 1372 1626 1897 1974 2058 2168 2303 2632 2744 3252 3794 3948 4116 4606 5691 6504 6909 7588 7896 8232 9212 11382 12737 13279 13818 15176 16121 18424 22764 25474 26558 27636 32242 38211 39837 45528 48363 50948 53116 55272 64484 76422 79674 89159 92953 96726 101896 106232 128968 152844 159348 178318 185906 193452 267477 278859 305688 318696 356636 371812 386904 534954 557718 624113 713272 743624 1069908 1115436 1248226 1872339 2139816 2230872 2496452 3744678 4368791 4992904 7489356 8737582 13106373 14978712 17475164 26212746 34950328 52425492 104850984