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104808384 = 2633131463
BaseRepresentation
bin1100011111100…
…11111111000000
321022012211002000
412033303333000
5203312332014
614222224000
72411566542
oct617637700
9238184060
10104808384
11541860aa
122b125000
13189382c5
14dcc3692
159304509
hex63f3fc0

104808384 has 112 divisors (see below), whose sum is σ = 311139840. Its totient is φ = 34594560.

The previous prime is 104808359. The next prime is 104808391. The reversal of 104808384 is 483808401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226137 + ... + 226599.

Almost surely, 2104808384 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 104808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155569920).

104808384 is an abundant number, since it is smaller than the sum of its proper divisors (206331456).

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

104808384 is a wasteful number, since it uses less digits than its factorization.

104808384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 104808384 is about 10237.5965929509. The cubic root of 104808384 is about 471.4822437121.

The spelling of 104808384 in words is "one hundred four million, eight hundred eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 463 524 576 786 864 926 1048 1179 1389 1572 1728 1852 2096 2358 2778 3144 3537 3704 4167 4192 4716 5556 6288 7074 7408 8334 8384 9432 11112 12501 12576 14148 14816 16668 18864 22224 25002 25152 28296 29632 33336 37728 44448 50004 56592 60653 66672 75456 88896 100008 113184 121306 133344 181959 200016 226368 242612 266688 363918 400032 485224 545877 727836 800064 970448 1091754 1455672 1637631 1940896 2183508 2911344 3275262 3881792 4367016 5822688 6550524 8734032 11645376 13101048 17468064 26202096 34936128 52404192 104808384