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3820768 = 25737461
BaseRepresentation
bin1110100100110011100000
321012010002221
432210303200
51434231033
6213520424
744322160
oct16446340
97163087
103820768
11217a666
121343114
13a3a113
147165a0
1550712d
hex3a4ce0

3820768 has 48 divisors (see below), whose sum is σ = 8848224. Its totient is φ = 1589760.

The previous prime is 3820763. The next prime is 3820769. The reversal of 3820768 is 8670283.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3820763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8058 + ... + 8518.

It is an arithmetic number, because the mean of its divisors is an integer number (184338).

Almost surely, 23820768 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 3820768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424112).

3820768 is an abundant number, since it is smaller than the sum of its proper divisors (5027456).

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

3820768 is a wasteful number, since it uses less digits than its factorization.

3820768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 3820768 is about 1954.6784901871. The cubic root of 3820768 is about 156.3328418305.

The spelling of 3820768 in words is "three million, eight hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 461 518 592 922 1036 1184 1844 2072 3227 3688 4144 6454 7376 8288 12908 14752 17057 25816 34114 51632 68228 103264 119399 136456 238798 272912 477596 545824 955192 1910384 3820768