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104521248 = 25321327917
BaseRepresentation
bin1100011101011…
…01111000100000
321021200020012100
412032231320200
5203224134443
614212130400
72406262446
oct616557040
9237606170
10104521248
1153aaa3a7
122b006a00
13188676c0
14dc4ab96
1592993d3
hex63ade20

104521248 has 72 divisors (see below), whose sum is σ = 320107788. Its totient is φ = 32159232.

The previous prime is 104521229. The next prime is 104521267. The reversal of 104521248 is 842125401.

It is an interprime number because it is at equal distance from previous prime (104521229) and next prime (104521267).

It can be written as a sum of positive squares in 2 ways, for example, as 103795344 + 725904 = 10188^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10215 + ... + 17702.

Almost surely, 2104521248 is an apocalyptic number.

104521248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104521248 is an abundant number, since it is smaller than the sum of its proper divisors (215586540).

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

104521248 is a wasteful number, since it uses less digits than its factorization.

104521248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27946 (or 27935 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104521248 is about 10223.5633709583. The cubic root of 104521248 is about 471.0512879090.

Adding to 104521248 its reverse (842125401), we get a palindrome (946646649).

The spelling of 104521248 in words is "one hundred four million, five hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 27917 55834 83751 111668 167502 223336 251253 335004 362921 446672 502506 670008 725842 893344 1005012 1088763 1340016 1451684 2010024 2177526 2680032 2903368 3266289 4020048 4355052 5806736 6532578 8040096 8710104 11613472 13065156 17420208 26130312 34840416 52260624 104521248