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4835232 = 2532103163
BaseRepresentation
bin10010011100011110100000
3100002122200200
4102130132200
52214211412
6251345200
756045613
oct22343640
910078620
104835232
112802866
121752200
131003aac
148dc17a
156579dc
hex49c7a0

4835232 has 72 divisors (see below), whose sum is σ = 13968864. Its totient is φ = 1586304.

The previous prime is 4835231. The next prime is 4835249. The reversal of 4835232 is 2325384.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4835196 and 4835205.

It is not an unprimeable number, because it can be changed into a prime (4835231) 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, 29583 + ... + 29745.

It is an arithmetic number, because the mean of its divisors is an integer number (194012).

Almost surely, 24835232 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 4835232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6984432).

4835232 is an abundant number, since it is smaller than the sum of its proper divisors (9133632).

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

4835232 is a wasteful number, since it uses less digits than its factorization.

4835232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 4835232 is about 2198.9160966258. The cubic root of 4835232 is about 169.0982470880.

It can be divided in two parts, 48352 and 32, that added together give a palindrome (48384).

The spelling of 4835232 in words is "four million, eight hundred thirty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 103 144 163 206 288 309 326 412 489 618 652 824 927 978 1236 1304 1467 1648 1854 1956 2472 2608 2934 3296 3708 3912 4944 5216 5868 7416 7824 9888 11736 14832 15648 16789 23472 29664 33578 46944 50367 67156 100734 134312 151101 201468 268624 302202 402936 537248 604404 805872 1208808 1611744 2417616 4835232