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104742208 = 2641179223
BaseRepresentation
bin1100011111000…
…11110101000000
321022002110022001
412033203311000
5203303222313
614220553344
72411202604
oct617436500
9238073261
10104742208
115414040a
122b0b2854
131891414c
14dca7504
1592deadd
hex63e3d40

104742208 has 56 divisors (see below), whose sum is σ = 215066880. Its totient is φ = 50580480.

The previous prime is 104742203. The next prime is 104742221. The reversal of 104742208 is 802247401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104742203) 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 7 ways as a sum of consecutive naturals, for example, 469585 + ... + 469807.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2104742208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

104742208 is an abundant number, since it is smaller than the sum of its proper divisors (110324672).

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

104742208 is a wasteful number, since it uses less digits than its factorization.

104742208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 104742208 is about 10234.3640740400. The cubic root of 104742208 is about 471.3829915441.

Adding to 104742208 its reverse (802247401), we get a palindrome (906989609).

The spelling of 104742208 in words is "one hundred four million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 179 223 328 358 446 656 716 892 1312 1432 1784 2624 2864 3568 5728 7136 7339 9143 11456 14272 14678 18286 29356 36572 39917 58712 73144 79834 117424 146288 159668 234848 292576 319336 469696 585152 638672 1277344 1636597 2554688 3273194 6546388 13092776 26185552 52371104 104742208