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3816096 = 253127313
BaseRepresentation
bin1110100011101010100000
321011212200220
432203222200
51434103341
6213443040
744302434
oct16435240
97155626
103816096
1121770a9
121340480
13a37c5b
147149c4
15505a66
hex3a3aa0

3816096 has 48 divisors (see below), whose sum is σ = 10128384. Its totient is φ = 1257984.

The previous prime is 3816089. The next prime is 3816103. The reversal of 3816096 is 6906183.

It is an interprime number because it is at equal distance from previous prime (3816089) and next prime (3816103).

It is a tau number, because it is divible by the number of its divisors (48).

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, 12036 + ... + 12348.

It is an arithmetic number, because the mean of its divisors is an integer number (211008).

Almost surely, 23816096 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 3816096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5064192).

3816096 is an abundant number, since it is smaller than the sum of its proper divisors (6312288).

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

3816096 is a wasteful number, since it uses less digits than its factorization.

3816096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3816096 is about 1953.4830431821. The cubic root of 3816096 is about 156.2690950530.

It can be divided in two parts, 381 and 6096, that multiplied together give a square (2322576 = 15242).

The spelling of 3816096 in words is "three million, eight hundred sixteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 313 381 508 626 762 939 1016 1252 1524 1878 2032 2504 3048 3756 4064 5008 6096 7512 10016 12192 15024 30048 39751 79502 119253 159004 238506 318008 477012 636016 954024 1272032 1908048 3816096