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208248404 = 227131733307
BaseRepresentation
bin11000110100110…
…01111001010100
3112111212010002212
430122121321110
5411302422104
632355252552
75106040130
oct1432317124
9474763085
10208248404
11a7607121
12598aa158
13341b4810
141d92c3c0
151343836e
hexc699e54

208248404 has 48 divisors (see below), whose sum is σ = 451264128. Its totient is φ = 81883008.

The previous prime is 208248401. The next prime is 208248413. The reversal of 208248404 is 404842802.

208248404 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 (208248401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61319 + ... + 64625.

It is an arithmetic number, because the mean of its divisors is an integer number (9401336).

Almost surely, 2208248404 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 208248404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225632064).

208248404 is an abundant number, since it is smaller than the sum of its proper divisors (243015724).

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

208248404 is a wasteful number, since it uses less digits than its factorization.

208248404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 208248404 is about 14430.8143914334. The cubic root of 208248404 is about 592.7349839121.

The spelling of 208248404 in words is "two hundred eight million, two hundred forty-eight thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 52 91 173 182 346 364 692 1211 2249 2422 3307 4498 4844 6614 8996 13228 15743 23149 31486 42991 46298 62972 85982 92596 171964 300937 572111 601874 1144222 1203748 2288444 4004777 7437443 8009554 14874886 16019108 29749772 52062101 104124202 208248404