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3802016 = 251729241
BaseRepresentation
bin1110100000001110100000
321011011101102
432200032200
51433131031
6213253532
744213411
oct16401640
97134342
103802016
112167569
1213342a8
13a3171a
1470d808
155017cb
hex3a03a0

3802016 has 48 divisors (see below), whose sum is σ = 8232840. Its totient is φ = 1720320.

The previous prime is 3802003. The next prime is 3802027. The reversal of 3802016 is 6102083.

It can be written as a sum of positive squares in 4 ways, for example, as 3763600 + 38416 = 1940^2 + 196^2 .

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, 15656 + ... + 15896.

Almost surely, 23802016 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 3802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116420).

3802016 is an abundant number, since it is smaller than the sum of its proper divisors (4430824).

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

3802016 is a wasteful number, since it uses less digits than its factorization.

3802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3802016 is about 1949.8758934866. The cubic root of 3802016 is about 156.0766662390.

Adding to 3802016 its reverse (6102083), we get a palindrome (9904099).

The spelling of 3802016 in words is "three million, eight hundred two thousand, sixteen".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 241 272 464 482 493 544 928 964 986 1928 1972 3856 3944 4097 6989 7712 7888 8194 13978 15776 16388 27956 32776 55912 65552 111824 118813 131104 223648 237626 475252 950504 1901008 3802016