[go: up one dir, main page]

Search a number
-
+
4802720 = 255132309
BaseRepresentation
bin10010010100100010100000
3100001000002112
4102110202200
52212141340
6250534452
755552046
oct22244240
910030075
104802720
11279039a
121737428
13cc2060
148d0396
1564d065
hex4948a0

4802720 has 48 divisors (see below), whose sum is σ = 12224520. Its totient is φ = 1772544.

The previous prime is 4802689. The next prime is 4802723. The reversal of 4802720 is 272084.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 1008016 = 1948^2 + 1004^2 .

It is a super-2 number, since 2×48027202 = 46132238796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4802723) 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 7 ways as a sum of consecutive naturals, for example, 926 + ... + 3234.

Almost surely, 24802720 is an apocalyptic number.

4802720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112260).

4802720 is an abundant number, since it is smaller than the sum of its proper divisors (7421800).

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

4802720 is a wasteful number, since it uses less digits than its factorization.

4802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4802720 is about 2191.5108943375. The cubic root of 4802720 is about 168.7183900555.

The spelling of 4802720 in words is "four million, eight hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2309 4618 9236 11545 18472 23090 30017 36944 46180 60034 73888 92360 120068 150085 184720 240136 300170 369440 480272 600340 960544 1200680 2401360 4802720