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4653828 = 2233411051
BaseRepresentation
bin10001110000001100000100
322202102212000
4101300030010
52142410303
6243425300
754362004
oct21601404
98672760
104653828
112699543
121685230
13c6c35a
14892004
1561dda3
hex470304

4653828 has 48 divisors (see below), whose sum is σ = 12371520. Its totient is φ = 1512000.

The previous prime is 4653827. The next prime is 4653829. The reversal of 4653828 is 8283564.

4653828 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 (4653827) and next prime (4653829).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4653792 and 4653801.

It is not an unprimeable number, because it can be changed into a prime (4653827) by changing a digit.

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, 3903 + ... + 4953.

It is an arithmetic number, because the mean of its divisors is an integer number (257740).

Almost surely, 24653828 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 4653828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185760).

4653828 is an abundant number, since it is smaller than the sum of its proper divisors (7717692).

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

4653828 is a wasteful number, since it uses less digits than its factorization.

4653828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4653828 is about 2157.2732789334. The cubic root of 4653828 is about 166.9565426503.

The spelling of 4653828 in words is "four million, six hundred fifty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1051 1107 1476 2102 2214 3153 4204 4428 6306 9459 12612 18918 28377 37836 43091 56754 86182 113508 129273 172364 258546 387819 517092 775638 1163457 1551276 2326914 4653828