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208748420 = 22531210861
BaseRepresentation
bin11000111000100…
…11111110000100
3112112210111222222
430130103332010
5411414422140
632414111512
75113221656
oct1434237604
9475714888
10208748420
11a7918861
1259aab598
133432b29a
141da1c6d6
15134d65b5
hexc713f84

208748420 has 36 divisors (see below), whose sum is σ = 453010572. Its totient is φ = 80798400.

The previous prime is 208748411. The next prime is 208748429. The reversal of 208748420 is 24847802.

208748420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (208748411) and next prime (208748429).

It can be written as a sum of positive squares in 2 ways, for example, as 78605956 + 130142464 = 8866^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (208748429) 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, 13790 + ... + 24650.

It is an arithmetic number, because the mean of its divisors is an integer number (12583627).

Almost surely, 2208748420 is an apocalyptic number.

208748420 is a gapful number since it is divisible by the number (20) 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 208748420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226505286).

208748420 is an abundant number, since it is smaller than the sum of its proper divisors (244262152).

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

208748420 is a wasteful number, since it uses less digits than its factorization.

208748420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 208748420 is about 14448.1285985418. The cubic root of 208748420 is about 593.2090012877.

The spelling of 208748420 in words is "two hundred eight million, seven hundred forty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 9610 10861 19220 21722 43444 54305 108610 217220 336691 673382 1346764 1683455 3366910 6733820 10437421 20874842 41749684 52187105 104374210 208748420