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3900208 = 2413171103
BaseRepresentation
bin1110111000001100110000
321100011002011
432320030300
51444301313
6215332304
745102604
oct16701460
97304064
103900208
112224314
121381094
13a67320
14737504
1552093d
hex3b8330

3900208 has 40 divisors (see below), whose sum is σ = 8624448. Its totient is φ = 1692672.

The previous prime is 3900199. The next prime is 3900223. The reversal of 3900208 is 8020093.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2985 + ... + 4087.

Almost surely, 23900208 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 3900208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312224).

3900208 is an abundant number, since it is smaller than the sum of its proper divisors (4724240).

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

3900208 is a wasteful number, since it uses less digits than its factorization.

3900208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 3900208 is about 1974.8944275581. The cubic root of 3900208 is about 157.4088899439.

Subtracting 3900208 from its reverse (8020093), we obtain a triangular number (4119885 = T2870).

The spelling of 3900208 in words is "three million, nine hundred thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1103 1768 2206 3536 4412 8824 14339 17648 18751 28678 37502 57356 75004 114712 150008 229424 243763 300016 487526 975052 1950104 3900208