Search a number
-
+
4635828 = 2232131983
BaseRepresentation
bin10001101011110010110100
322201112011100
4101223302310
52141321303
6243210100
754255351
oct21536264
98645140
104635828
112686a6a
121676930
13c640c2
14889628
156188a3
hex46bcb4

4635828 has 36 divisors (see below), whose sum is σ = 11819808. Its totient is φ = 1531920.

The previous prime is 4635821. The next prime is 4635847. The reversal of 4635828 is 8285364.

4635828 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 411 + 66 + 34 + 58 + 82 + 2 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 4635792 and 4635801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4635821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4225 + ... + 5207.

It is an arithmetic number, because the mean of its divisors is an integer number (328328).

Almost surely, 24635828 is an apocalyptic number.

It is an amenable number.

4635828 is an abundant number, since it is smaller than the sum of its proper divisors (7183980).

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

4635828 is a wasteful number, since it uses less digits than its factorization.

4635828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1119 counting only the distinct ones).

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

The square root of 4635828 is about 2153.0973038857. The cubic root of 4635828 is about 166.7410139411.

The spelling of 4635828 in words is "four million, six hundred thirty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 983 1179 1572 1966 2358 2949 3932 4716 5898 8847 11796 17694 35388 128773 257546 386319 515092 772638 1158957 1545276 2317914 4635828