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104859944 = 23717234789
BaseRepresentation
bin1100100000000…
…00100100101000
321022022102210122
412100000210220
5203321004234
614223302412
72412203060
oct620004450
9238272718
10104859944
1154210912
122b14aa08
1318955907
14dcd83a0
15931492e
hex6400928

104859944 has 64 divisors (see below), whose sum is σ = 248313600. Its totient is φ = 40449024.

The previous prime is 104859943. The next prime is 104859977. The reversal of 104859944 is 449958401.

It is a junction number, because it is equal to n+sod(n) for n = 104859895 and 104859904.

It is not an unprimeable number, because it can be changed into a prime (104859943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19502 + ... + 24290.

It is an arithmetic number, because the mean of its divisors is an integer number (3879900).

Almost surely, 2104859944 is an apocalyptic number.

104859944 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 104859944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124156800).

104859944 is an abundant number, since it is smaller than the sum of its proper divisors (143453656).

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

104859944 is a wasteful number, since it uses less digits than its factorization.

104859944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 104859944 is about 10240.1144524854. The cubic root of 104859944 is about 471.5595455408.

The spelling of 104859944 in words is "one hundred four million, eight hundred fifty-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 644 782 952 1288 1564 2737 3128 4789 5474 9578 10948 19156 21896 33523 38312 67046 81413 110147 134092 162826 220294 268184 325652 440588 569891 651304 771029 881176 1139782 1542058 1872499 2279564 3084116 3744998 4559128 6168232 7489996 13107493 14979992 26214986 52429972 104859944