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3805264 = 242959139
BaseRepresentation
bin1110100001000001010000
321011022211201
432201001100
51433232024
6213320544
744226031
oct16410120
97138751
103805264
112169a51
121336154
13a33048
14710a88
15502744
hex3a1050

3805264 has 40 divisors (see below), whose sum is σ = 7812000. Its totient is φ = 1792896.

The previous prime is 3805259. The next prime is 3805273. The reversal of 3805264 is 4625083.

Together with 4006736 it forms an amicable pair .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27307 + ... + 27445.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 23805264 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 3805264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906000).

3805264 is an abundant number, since it is smaller than the sum of its proper divisors (4006736).

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

3805264 is a wasteful number, since it uses less digits than its factorization.

3805264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3805264 is about 1950.7085892055. The cubic root of 3805264 is about 156.1210981689.

The spelling of 3805264 in words is "three million, eight hundred five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 59 116 118 139 232 236 278 464 472 556 944 1112 1711 2224 3422 4031 6844 8062 8201 13688 16124 16402 27376 32248 32804 64496 65608 131216 237829 475658 951316 1902632 3805264