Search a number
-
+
104844942 = 2343112081
BaseRepresentation
bin1100011111111…
…00111010001110
321022021200020000
412033330322032
5203320014232
614223105130
72412111246
oct617747216
9238250200
10104844942
1154200614
122b1421a6
131894bb37
14dcd2b26
15931027c
hex63fce8e

104844942 has 40 divisors (see below), whose sum is σ = 235798992. Its totient is φ = 34819200.

The previous prime is 104844931. The next prime is 104844979. The reversal of 104844942 is 249448401.

It is a junction number, because it is equal to n+sod(n) for n = 104844897 and 104844906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49342 + ... + 51422.

Almost surely, 2104844942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104844942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117899496).

104844942 is an abundant number, since it is smaller than the sum of its proper divisors (130954050).

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

104844942 is a wasteful number, since it uses less digits than its factorization.

104844942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 104844942 is about 10239.3819149400. The cubic root of 104844942 is about 471.5370562615.

The spelling of 104844942 in words is "one hundred four million, eight hundred forty-four thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 311 622 933 1866 2081 2799 4162 5598 6243 8397 12486 16794 18729 25191 37458 50382 56187 112374 168561 337122 647191 1294382 1941573 3883146 5824719 11649438 17474157 34948314 52422471 104844942