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4608252 = 223511431
BaseRepresentation
bin10001100101000011111100
322200010100000
4101211003330
52134431002
6242434300
754112065
oct21450374
98603300
104608252
112668280
121662990
13c5469c
1487d56c
1561061c
hex4650fc

4608252 has 72 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1393200.

The previous prime is 4608251. The next prime is 4608259. The reversal of 4608252 is 2528064.

4608252 is a `hidden beast` number, since 4 + 608 + 2 + 52 = 666.

4608252 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10477 + ... + 10907.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 24608252 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 4608252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4608252 is an abundant number, since it is smaller than the sum of its proper divisors (8600580).

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

4608252 is a wasteful number, since it uses less digits than its factorization.

4608252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4608252 is about 2146.6839543817. The cubic root of 4608252 is about 166.4097392444.

The spelling of 4608252 in words is "four million, six hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 431 486 594 862 891 972 1188 1293 1724 1782 2586 2673 3564 3879 4741 5172 5346 7758 9482 10692 11637 14223 15516 18964 23274 28446 34911 42669 46548 56892 69822 85338 104733 128007 139644 170676 209466 256014 384021 418932 512028 768042 1152063 1536084 2304126 4608252