Search a number
-
+
208509496 = 23132198117
BaseRepresentation
bin11000110110110…
…01101000111000
3112112100101020221
430123121220320
5411334300441
632405025424
75111205256
oct1433315070
9475311227
10208509496
11a77752a8
12599b5274
1334276600
141d9995d6
151348a8d1
hexc6d9a38

208509496 has 48 divisors (see below), whose sum is σ = 445678200. Its totient is φ = 91158912.

The previous prime is 208509493. The next prime is 208509517. The reversal of 208509496 is 694905802.

208509496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208509491) 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, 21630 + ... + 29746.

Almost surely, 2208509496 is an apocalyptic number.

208509496 is a gapful number since it is divisible by the number (26) 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 208509496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222839100).

208509496 is an abundant number, since it is smaller than the sum of its proper divisors (237168704).

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

208509496 is a wasteful number, since it uses less digits than its factorization.

208509496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8151 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 208509496 is about 14439.8578940376. The cubic root of 208509496 is about 592.9825948233.

The spelling of 208509496 in words is "two hundred eight million, five hundred nine thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 169 247 338 494 676 988 1352 1976 3211 6422 8117 12844 16234 25688 32468 64936 105521 154223 211042 308446 422084 616892 844168 1233784 1371773 2004899 2743546 4009798 5487092 8019596 10974184 16039192 26063687 52127374 104254748 208509496