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4225760 = 2557411
BaseRepresentation
bin10000000111101011100000
321221200122122
4100013223200
52040211020
6230323412
750630000
oct20075340
97850578
104225760
112426970
1214b9568
13b4c566
147c0000
15587125
hex407ae0

4225760 has 120 divisors (see below), whose sum is σ = 12705336. Its totient is φ = 1317120.

The previous prime is 4225729. The next prime is 4225769. The reversal of 4225760 is 675224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 384155 + ... + 384165.

Almost surely, 24225760 is an apocalyptic number.

4225760 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 4225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352668).

4225760 is an abundant number, since it is smaller than the sum of its proper divisors (8479576).

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

4225760 is an equidigital number, since it uses as much as digits as its factorization.

4225760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 4225760 is about 2055.6653424135. The cubic root of 4225760 is about 161.6720490408.

The spelling of 4225760 in words is "four million, two hundred twenty-five thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 343 352 385 392 440 490 539 560 616 686 770 784 880 980 1078 1120 1232 1372 1540 1568 1715 1760 1960 2156 2401 2464 2695 2744 3080 3430 3773 3920 4312 4802 5390 5488 6160 6860 7546 7840 8624 9604 10780 10976 12005 12320 13720 15092 17248 18865 19208 21560 24010 26411 27440 30184 37730 38416 43120 48020 52822 54880 60368 75460 76832 86240 96040 105644 120736 132055 150920 192080 211288 264110 301840 384160 422576 528220 603680 845152 1056440 2112880 4225760