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208418742 = 23271797301
BaseRepresentation
bin11000110110000…
…11011110110110
3112112011202202200
430123003132312
5411323344432
632403045330
75110346550
oct1433033666
9475152680
10208418742
11a77130a4
1259970846
13342441cc
141d9744d0
151346da7c
hexc6c37b6

208418742 has 48 divisors (see below), whose sum is σ = 546448032. Its totient is φ = 56044800.

The previous prime is 208418719. The next prime is 208418753. The reversal of 208418742 is 247814802.

It is a junction number, because it is equal to n+sod(n) for n = 208418697 and 208418706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46509 + ... + 50792.

It is an arithmetic number, because the mean of its divisors is an integer number (11384334).

Almost surely, 2208418742 is an apocalyptic number.

208418742 is an abundant number, since it is smaller than the sum of its proper divisors (338029290).

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

208418742 is a wasteful number, since it uses less digits than its factorization.

208418742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97333 (or 97330 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 208418742 is about 14436.7150695717. The cubic root of 208418742 is about 592.8965502177.

The spelling of 208418742 in words is "two hundred eight million, four hundred eighteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 714 1071 2142 97301 194602 291903 583806 681107 875709 1362214 1654117 1751418 2043321 3308234 4086642 4962351 6129963 9924702 11578819 12259926 14887053 23157638 29774106 34736457 69472914 104209371 208418742