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4820832 = 253219881
BaseRepresentation
bin10010011000111101100000
3100001220221100
4102120331200
52213231312
6251154400
755655622
oct22307540
910056840
104820832
1127a2a65
121745a00
13cca383
148d6c12
156535dc
hex498f60

4820832 has 72 divisors (see below), whose sum is σ = 14447160. Its totient is φ = 1520640.

The previous prime is 4820807. The next prime is 4820833. The reversal of 4820832 is 2380284.

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 = 4820796 and 4820805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4820833) 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, 5032 + ... + 5912.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 24820832 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 4820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223580).

4820832 is an abundant number, since it is smaller than the sum of its proper divisors (9626328).

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

4820832 is a wasteful number, since it uses less digits than its factorization.

4820832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4820832 is about 2195.6393146416. The cubic root of 4820832 is about 168.9302140589.

It can be divided in two parts, 4 and 820832, that added together give a square (820836 = 9062).

The spelling of 4820832 in words is "four million, eight hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 881 912 1368 1762 1824 2643 2736 3524 5286 5472 7048 7929 10572 14096 15858 16739 21144 28192 31716 33478 42288 50217 63432 66956 84576 100434 126864 133912 150651 200868 253728 267824 301302 401736 535648 602604 803472 1205208 1606944 2410416 4820832