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104808288 = 25313137613
BaseRepresentation
bin1100011111100…
…11111101100000
321022012210221110
412033303331200
5203312331123
614222223320
72411566344
oct617637540
9238183843
10104808288
1154186022
122b124b40
1318938250
14dcc3624
159304493
hex63f3f60

104808288 has 96 divisors (see below), whose sum is σ = 298934496. Its totient is φ = 31961088.

The previous prime is 104808287. The next prime is 104808299. The reversal of 104808288 is 882808401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104808287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170670 + ... + 171282.

It is an arithmetic number, because the mean of its divisors is an integer number (3113901).

Almost surely, 2104808288 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 104808288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149467248).

104808288 is an abundant number, since it is smaller than the sum of its proper divisors (194126208).

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

104808288 is a wasteful number, since it uses less digits than its factorization.

104808288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 104808288 is about 10237.5919043494. The cubic root of 104808288 is about 471.4820997595.

The spelling of 104808288 in words is "one hundred four million, eight hundred eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 137 156 208 274 312 411 416 548 613 624 822 1096 1226 1248 1644 1781 1839 2192 2452 3288 3562 3678 4384 4904 5343 6576 7124 7356 7969 9808 10686 13152 14248 14712 15938 19616 21372 23907 28496 29424 31876 42744 47814 56992 58848 63752 83981 85488 95628 127504 167962 170976 191256 251943 255008 335924 382512 503886 671848 765024 1007772 1091753 1343696 2015544 2183506 2687392 3275259 4031088 4367012 6550518 8062176 8734024 13101036 17468048 26202072 34936096 52404144 104808288