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104848840 = 23519253137
BaseRepresentation
bin1100011111111…
…01110111001000
321022021212120101
412033331313020
5203320130330
614223135144
72412125515
oct617756710
9238255511
10104848840
1154203538
122b1444b4
1318950845
14dcd430c
1593114ca
hex63fddc8

104848840 has 96 divisors (see below), whose sum is σ = 255529080. Its totient is φ = 38697984.

The previous prime is 104848831. The next prime is 104848867. The reversal of 104848840 is 48848401.

It can be written as a sum of positive squares in 4 ways, for example, as 95374756 + 9474084 = 9766^2 + 3078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 104848840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 765252 + ... + 765388.

Almost surely, 2104848840 is an apocalyptic number.

104848840 is a gapful number since it is divisible by the number (10) 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 104848840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764540).

104848840 is an abundant number, since it is smaller than the sum of its proper divisors (150680240).

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

104848840 is a wasteful number, since it uses less digits than its factorization.

104848840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 104848840 is about 10239.5722566912. The cubic root of 104848840 is about 471.5428999027.

The spelling of 104848840 in words is "one hundred four million, eight hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 137 152 190 212 265 274 361 380 424 530 548 685 722 760 1007 1060 1096 1370 1444 1805 2014 2120 2603 2740 2888 3610 4028 5035 5206 5480 7220 7261 8056 10070 10412 13015 14440 14522 19133 20140 20824 26030 29044 36305 38266 40280 49457 52060 58088 72610 76532 95665 98914 104120 137959 145220 153064 191330 197828 247285 275918 290440 382660 395656 494570 551836 689795 765320 989140 1103672 1379590 1978280 2621221 2759180 5242442 5518360 10484884 13106105 20969768 26212210 52424420 104848840