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104009472 = 283276449
BaseRepresentation
bin1100011001100…
…00111100000000
321020201020011200
412030300330000
5203111300342
614153141200
72402031420
oct614607400
9236636150
10104009472
115378a946
122a9ba800
1318718788
14db56480
1591e794c
hex6330f00

104009472 has 108 divisors (see below), whose sum is σ = 342778800. Its totient is φ = 29712384.

The previous prime is 104009471. The next prime is 104009483. The reversal of 104009472 is 274900401.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104009471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12904 + ... + 19352.

Almost surely, 2104009472 is an apocalyptic number.

104009472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171389400).

104009472 is an abundant number, since it is smaller than the sum of its proper divisors (238769328).

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

104009472 is an equidigital number, since it uses as much as digits as its factorization.

104009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6478 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104009472 is about 10198.5034196200. The cubic root of 104009472 is about 470.2812139326.

Adding to 104009472 its reverse (274900401), we get a palindrome (378909873).

The spelling of 104009472 in words is "one hundred four million, nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 6449 8064 12898 16128 19347 25796 38694 45143 51592 58041 77388 90286 103184 116082 135429 154776 180572 206368 232164 270858 309552 361144 406287 412736 464328 541716 619104 722288 812574 825472 928656 1083432 1238208 1444576 1625148 1650944 1857312 2166864 2476416 2889152 3250296 3714624 4333728 4952832 5778304 6500592 7429248 8667456 11556608 13001184 14858496 17334912 26002368 34669824 52004736 104009472