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4666896 = 243413277
BaseRepresentation
bin10001110011011000010000
322210002210000
4101303120100
52143320041
6244010000
754445053
oct21633020
98702700
104666896
1126a8343
121690900
13c752a0
14896a9a
15622bb6
hex473610

4666896 has 100 divisors (see below), whose sum is σ = 14598892. Its totient is φ = 1430784.

The previous prime is 4666889. The next prime is 4666903. The reversal of 4666896 is 6986664.

4666896 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4666889) and next prime (4666903).

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 3920400 = 864^2 + 1980^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16710 + ... + 16986.

Almost surely, 24666896 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 4666896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299446).

4666896 is an abundant number, since it is smaller than the sum of its proper divisors (9931996).

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

4666896 is a wasteful number, since it uses less digits than its factorization.

4666896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 295 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 4666896 is about 2160.2999791696. The cubic root of 4666896 is about 167.1126685405.

It can be divided in two parts, 46668 and 96, that added together give a palindrome (46764).

The spelling of 4666896 in words is "four million, six hundred sixty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 277 312 324 351 432 468 554 624 648 702 831 936 1053 1108 1296 1404 1662 1872 2106 2216 2493 2808 3324 3601 4212 4432 4986 5616 6648 7202 7479 8424 9972 10803 13296 14404 14958 16848 19944 21606 22437 28808 29916 32409 39888 43212 44874 57616 59832 64818 86424 89748 97227 119664 129636 172848 179496 194454 259272 291681 358992 388908 518544 583362 777816 1166724 1555632 2333448 4666896