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4263264 = 2532113131
BaseRepresentation
bin10000010000110101100000
322000121002200
4100100311200
52042411024
6231213200
751144225
oct20206540
98017080
104263264
112452065
121517200
13b63655
147cd94c
155932c9
hex410d60

4263264 has 72 divisors (see below), whose sum is σ = 12324312. Its totient is φ = 1397760.

The previous prime is 4263253. The next prime is 4263283. The reversal of 4263264 is 4623624.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

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 11 ways as a sum of consecutive naturals, for example, 32479 + ... + 32609.

It is an arithmetic number, because the mean of its divisors is an integer number (171171).

Almost surely, 24263264 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 4263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6162156).

4263264 is an abundant number, since it is smaller than the sum of its proper divisors (8061048).

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

4263264 is a wasteful number, since it uses less digits than its factorization.

4263264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4263264 is about 2064.7672992374. The cubic root of 4263264 is about 162.1489256944.

Adding to 4263264 its reverse (4623624), we get a palindrome (8886888).

The spelling of 4263264 in words is "four million, two hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 131 144 226 262 288 339 393 452 524 678 786 904 1017 1048 1179 1356 1572 1808 2034 2096 2358 2712 3144 3616 4068 4192 4716 5424 6288 8136 9432 10848 12576 14803 16272 18864 29606 32544 37728 44409 59212 88818 118424 133227 177636 236848 266454 355272 473696 532908 710544 1065816 1421088 2131632 4263264