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104777296 = 2413238749
BaseRepresentation
bin1100011111011…
…00011001010000
321022011020102121
412033230121100
5203310333141
614221424024
72411410111
oct617543120
9238136377
10104777296
1154164808
122b10b014
1318927100
14dcb6208
1592ea1d1
hex63ec650

104777296 has 30 divisors (see below), whose sum is σ = 219828750. Its totient is φ = 48357504.

The previous prime is 104777269. The next prime is 104777311. The reversal of 104777296 is 692777401.

It can be written as a sum of positive squares in 3 ways, for example, as 1600 + 104775696 = 40^2 + 10236^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 16671 + ... + 22078.

It is an arithmetic number, because the mean of its divisors is an integer number (7327625).

Almost surely, 2104777296 is an apocalyptic number.

104777296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104777296 is an abundant number, since it is smaller than the sum of its proper divisors (115051454).

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

104777296 is a wasteful number, since it uses less digits than its factorization.

104777296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38783 (or 38764 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 43.

The square root of 104777296 is about 10236.0781552311. The cubic root of 104777296 is about 471.4356224753.

The spelling of 104777296 in words is "one hundred four million, seven hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 38749 77498 154996 309992 503737 619984 1007474 2014948 4029896 6548581 8059792 13097162 26194324 52388648 104777296