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104633312 = 2574111393
BaseRepresentation
bin1100011110010…
…01001111100000
321021212220220212
412033021033200
5203241231222
614214353252
72410240250
oct617111740
9237786825
10104633312
1154076613
122b05b828
13188a6704
14dc79960
1592bc6e2
hex63c93e0

104633312 has 48 divisors (see below), whose sum is σ = 241188192. Its totient is φ = 43745280.

The previous prime is 104633311. The next prime is 104633357. The reversal of 104633312 is 213336401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104633311) 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, 3488 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (5024754).

Almost surely, 2104633312 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 104633312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120594096).

104633312 is an abundant number, since it is smaller than the sum of its proper divisors (136554880).

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

104633312 is a wasteful number, since it uses less digits than its factorization.

104633312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11451 (or 11443 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 104633312 is about 10229.0425749432. The cubic root of 104633312 is about 471.2195759780.

Adding to 104633312 its reverse (213336401), we get a palindrome (317969713).

The spelling of 104633312 in words is "one hundred four million, six hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 9184 11393 22786 45572 79751 91144 159502 182288 319004 364576 467113 638008 934226 1276016 1868452 2552032 3269791 3736904 6539582 7473808 13079164 14947616 26158328 52316656 104633312