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4224480 = 253513677
BaseRepresentation
bin10000000111010111100000
321221121220020
4100013113200
52040140410
6230313440
750623161
oct20072740
97847806
104224480
112425a07
1214b8880
13b4bac0
147bd768
15586a70
hex4075e0

4224480 has 96 divisors (see below), whose sum is σ = 14351904. Its totient is φ = 1038336.

The previous prime is 4224469. The next prime is 4224491. The reversal of 4224480 is 844224.

It is an interprime number because it is at equal distance from previous prime (4224469) and next prime (4224491).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4224480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5902 + ... + 6578.

It is an arithmetic number, because the mean of its divisors is an integer number (149499).

Almost surely, 24224480 is an apocalyptic number.

4224480 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 4224480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175952).

4224480 is an abundant number, since it is smaller than the sum of its proper divisors (10127424).

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

4224480 is a wasteful number, since it uses less digits than its factorization.

4224480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4224480 is about 2055.3539841108. The cubic root of 4224480 is about 161.6557236839.

It can be divided in two parts, 42244 and 80, that added together give a palindrome (42324).

The spelling of 4224480 in words is "four million, two hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 677 780 1040 1248 1354 1560 2031 2080 2708 3120 3385 4062 5416 6240 6770 8124 8801 10155 10832 13540 16248 17602 20310 21664 26403 27080 32496 35204 40620 44005 52806 54160 64992 70408 81240 88010 105612 108320 132015 140816 162480 176020 211224 264030 281632 324960 352040 422448 528060 704080 844896 1056120 1408160 2112240 4224480