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5851264 = 27172689
BaseRepresentation
bin10110010100100010000000
3102000021102111
4112110202000
52444220024
6325225104
7100510036
oct26244200
912007374
105851264
113337161
121b62194
13129b3b3
14ac4556
157a8a94
hex594880

5851264 has 32 divisors (see below), whose sum is σ = 12347100. Its totient is φ = 2752512.

The previous prime is 5851249. The next prime is 5851277. The reversal of 5851264 is 4621585.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 129600 = 2392^2 + 360^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 832 + ... + 3520.

Almost surely, 25851264 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 5851264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173550).

5851264 is an abundant number, since it is smaller than the sum of its proper divisors (6495836).

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

5851264 is a wasteful number, since it uses less digits than its factorization.

5851264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2708 counting only the distinct ones).

The product of its digits is 9600, while the sum is 31.

The square root of 5851264 is about 2418.9386102173. The cubic root of 5851264 is about 180.1979714833.

It can be divided in two parts, 585 and 1264, that added together give a square (1849 = 432).

The spelling of 5851264 in words is "five million, eight hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2689 5378 10756 21512 43024 45713 86048 91426 172096 182852 344192 365704 731408 1462816 2925632 5851264