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4260816 = 243371409
BaseRepresentation
bin10000010000001111010000
322000110202000
4100100033100
52042321231
6231154000
751134130
oct20201720
98013660
104260816
11245023a
121515900
13b624c1
147ccac0
155926e6
hex4103d0

4260816 has 80 divisors (see below), whose sum is σ = 13987200. Its totient is φ = 1216512.

The previous prime is 4260799. The next prime is 4260821. The reversal of 4260816 is 6180624.

4260816 is a `hidden beast` number, since 42 + 608 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4260816.

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 15 ways as a sum of consecutive naturals, for example, 2320 + ... + 3728.

It is an arithmetic number, because the mean of its divisors is an integer number (174840).

Almost surely, 24260816 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 4260816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993600).

4260816 is an abundant number, since it is smaller than the sum of its proper divisors (9726384).

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

4260816 is a wasteful number, since it uses less digits than its factorization.

4260816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4260816 is about 2064.1744112356. The cubic root of 4260816 is about 162.1178840191.

It can be divided in two parts, 42608 and 16, that added together give a palindrome (42624).

The spelling of 4260816 in words is "four million, two hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1409 1512 2818 3024 4227 5636 8454 9863 11272 12681 16908 19726 22544 25362 29589 33816 38043 39452 50724 59178 67632 76086 78904 88767 101448 118356 152172 157808 177534 202896 236712 266301 304344 355068 473424 532602 608688 710136 1065204 1420272 2130408 4260816