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103208456 = 23131922749
BaseRepresentation
bin1100010011011…
…01011000001000
321012012112101102
412021231120020
5202410132311
614124040532
72362154201
oct611553010
9235175342
10103208456
115329304a
122a693148
13184c7cc0
14d9c85a8
1590da43b
hex626d608

103208456 has 48 divisors (see below), whose sum is σ = 220027500. Its totient is φ = 45111168.

The previous prime is 103208431. The next prime is 103208459. The reversal of 103208456 is 654802301.

It can be written as a sum of positive squares in 2 ways, for example, as 86676100 + 16532356 = 9310^2 + 4066^2 .

It is not an unprimeable number, because it can be changed into a prime (103208459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36170 + ... + 38918.

Almost surely, 2103208456 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 103208456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110013750).

103208456 is an abundant number, since it is smaller than the sum of its proper divisors (116819044).

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

103208456 is a wasteful number, since it uses less digits than its factorization.

103208456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 103208456 is about 10159.1562641786. The cubic root of 103208456 is about 469.0708306484.

The spelling of 103208456 in words is "one hundred three million, two hundred eight thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2749 2888 4693 5498 9386 10996 18772 21992 35737 37544 52231 71474 104462 142948 208924 285896 417848 679003 992389 1358006 1984778 2716012 3969556 5432024 7939112 12901057 25802114 51604228 103208456