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208048480 = 2551968437
BaseRepresentation
bin11000110011010…
…01000101100000
3112111110221212021
430121221011200
5411230022410
632351111224
75104245223
oct1431510540
9474427767
10208048480
11a748a9a2
1259812514
1334144813
141d8b95ba
15133e8eda
hexc669160

208048480 has 48 divisors (see below), whose sum is σ = 517391280. Its totient is φ = 78838272.

The previous prime is 208048457. The next prime is 208048493. The reversal of 208048480 is 84840802.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31179 + ... + 37258.

It is an arithmetic number, because the mean of its divisors is an integer number (10778985).

Almost surely, 2208048480 is an apocalyptic number.

208048480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208048480 is an abundant number, since it is smaller than the sum of its proper divisors (309342800).

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

208048480 is a wasteful number, since it uses less digits than its factorization.

208048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68471 (or 68463 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 208048480 is about 14423.8857455264. The cubic root of 208048480 is about 592.5452427368.

The spelling of 208048480 in words is "two hundred eight million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 68437 136874 273748 342185 547496 684370 1094992 1300303 1368740 2189984 2600606 2737480 5201212 5474960 6501515 10402424 10949920 13003030 20804848 26006060 41609696 52012120 104024240 208048480