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104010048 = 2633232617
BaseRepresentation
bin1100011001100…
…01000101000000
321020201020222000
412030301011000
5203111310143
614153144000
72402033202
oct614610500
9236636860
10104010048
115379031a
122a9bb000
1318718b0c
14db56772
1591e7bd3
hex6331140

104010048 has 112 divisors (see below), whose sum is σ = 319186560. Its totient is φ = 33149952.

The previous prime is 104010043. The next prime is 104010061. The reversal of 104010048 is 840010401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 104010048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104010041) 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, 38436 + ... + 41052.

It is an arithmetic number, because the mean of its divisors is an integer number (2849880).

Almost surely, 2104010048 is an apocalyptic number.

104010048 is a gapful number since it is divisible by the number (18) 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 104010048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159593280).

104010048 is an abundant number, since it is smaller than the sum of its proper divisors (215176512).

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

104010048 is a wasteful number, since it uses less digits than its factorization.

104010048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104010048 is about 10198.5316590184. The cubic root of 104010048 is about 470.2820820634.

Adding to 104010048 its reverse (840010401), we get a palindrome (944020449).

The spelling of 104010048 in words is "one hundred four million, ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 368 414 432 552 576 621 736 828 864 1104 1242 1472 1656 1728 2208 2484 2617 3312 4416 4968 5234 6624 7851 9936 10468 13248 15702 19872 20936 23553 31404 39744 41872 47106 60191 62808 70659 83744 94212 120382 125616 141318 167488 180573 188424 240764 251232 282636 361146 376848 481528 502464 541719 565272 722292 753696 963056 1083438 1130544 1444584 1507392 1625157 1926112 2166876 2261088 2889168 3250314 3852224 4333752 4522176 5778336 6500628 8667504 11556672 13001256 17335008 26002512 34670016 52005024 104010048