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208936242 = 23229400261
BaseRepresentation
bin11000111010000…
…01110100110010
3112120011001122100
430131001310302
5411441424432
632422121230
75114633364
oct1435016462
9476131570
10208936242
11a7a36989
1259b80216
1334395918
141da6ad34
151352207c
hexc741d32

208936242 has 24 divisors (see below), whose sum is σ = 468306540. Its totient is φ = 67243680.

The previous prime is 208936241. The next prime is 208936253. The reversal of 208936242 is 242639802.

208936242 is a `hidden beast` number, since 20 + 8 + 9 + 3 + 624 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194351481 + 14584761 = 13941^2 + 3819^2 .

It is a junction number, because it is equal to n+sod(n) for n = 208936197 and 208936206.

It is not an unprimeable number, because it can be changed into a prime (208936241) by changing a digit.

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, 199609 + ... + 200652.

Almost surely, 2208936242 is an apocalyptic number.

208936242 is an abundant number, since it is smaller than the sum of its proper divisors (259370298).

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

208936242 is a wasteful number, since it uses less digits than its factorization.

208936242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400298 (or 400295 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 208936242 is about 14454.6270100615. The cubic root of 208936242 is about 593.3868617981.

The spelling of 208936242 in words is "two hundred eight million, nine hundred thirty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 400261 800522 1200783 2401566 3602349 7204698 11607569 23215138 34822707 69645414 104468121 208936242