Search a number
-
+
4808440 = 2357131321
BaseRepresentation
bin10010010101111011111000
3100001021221101
4102111323320
52212332230
6251021144
755604530
oct22257370
910037841
104808440
11279471a
12173a7b4
13cc4840
148d24c0
1564eaca
hex495ef8

4808440 has 64 divisors (see below), whose sum is σ = 13325760. Its totient is φ = 1520640.

The previous prime is 4808417. The next prime is 4808459. The reversal of 4808440 is 448084.

It is a happy number.

It is a super-3 number, since 3×48084403 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4808399 and 4808408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2980 + ... + 4300.

It is an arithmetic number, because the mean of its divisors is an integer number (208215).

Almost surely, 24808440 is an apocalyptic number.

4808440 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 4808440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6662880).

4808440 is an abundant number, since it is smaller than the sum of its proper divisors (8517320).

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

4808440 is a wasteful number, since it uses less digits than its factorization.

4808440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 4808440 is about 2192.8155417180. The cubic root of 4808440 is about 168.7853442200.

The spelling of 4808440 in words is "four million, eight hundred eight thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1321 1820 2642 3640 5284 6605 9247 10568 13210 17173 18494 26420 34346 36988 46235 52840 68692 73976 85865 92470 120211 137384 171730 184940 240422 343460 369880 480844 601055 686920 961688 1202110 2404220 4808440