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208868496 = 24359131563
BaseRepresentation
bin11000111001100…
…01010010010000
3112120000121201020
430130301102100
5411432242441
632420435440
75114232024
oct1434612220
9476017636
10208868496
11a799aaa1
1259b48b80
1334370b35
141da50384
151350be66
hexc731490

208868496 has 80 divisors (see below), whose sum is σ = 553893120. Its totient is φ = 67799680.

The previous prime is 208868479. The next prime is 208868519. The reversal of 208868496 is 694868802.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 370711 + ... + 371273.

It is an arithmetic number, because the mean of its divisors is an integer number (6923664).

Almost surely, 2208868496 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 208868496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276946560).

208868496 is an abundant number, since it is smaller than the sum of its proper divisors (345024624).

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

208868496 is a wasteful number, since it uses less digits than its factorization.

208868496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 208868496 is about 14452.2834182007. The cubic root of 208868496 is about 593.3227211276.

The spelling of 208868496 in words is "two hundred eight million, eight hundred sixty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 131 177 236 262 354 393 472 524 563 708 786 944 1048 1126 1416 1572 1689 2096 2252 2832 3144 3378 4504 6288 6756 7729 9008 13512 15458 23187 27024 30916 33217 46374 61832 66434 73753 92748 99651 123664 132868 147506 185496 199302 221259 265736 295012 370992 398604 442518 531472 590024 797208 885036 1180048 1594416 1770072 3540144 4351427 8702854 13054281 17405708 26108562 34811416 52217124 69622832 104434248 208868496