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4262240 = 255171567
BaseRepresentation
bin10000010000100101100000
322000112200202
4100100211200
52042342430
6231204332
751141233
oct20204540
98015622
104262240
112451314
1215166a8
13b63048
147cd41a
15592d45
hex410960

4262240 has 48 divisors (see below), whose sum is σ = 10668672. Its totient is φ = 1603584.

The previous prime is 4262239. The next prime is 4262249. The reversal of 4262240 is 422624.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 48 + 23 + 63 + 27 + 211 + 411 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1937 + ... + 3503.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 24262240 is an apocalyptic number.

4262240 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 4262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334336).

4262240 is an abundant number, since it is smaller than the sum of its proper divisors (6406432).

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

4262240 is a wasteful number, since it uses less digits than its factorization.

4262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4262240 is about 2064.5193145137. The cubic root of 4262240 is about 162.1359423874.

Adding to 4262240 its reverse (422624), we get a palindrome (4684864).

The spelling of 4262240 in words is "four million, two hundred sixty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 1567 2720 3134 6268 7835 12536 15670 25072 26639 31340 50144 53278 62680 106556 125360 133195 213112 250720 266390 426224 532780 852448 1065560 2131120 4262240