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4842240 = 28351397
BaseRepresentation
bin10010011110001100000000
3100010000022020
4102132030000
52214422430
6251441440
756105214
oct22361400
910100266
104842240
112808057
121756280
131007040
14900944
15659b10
hex49e300

4842240 has 144 divisors (see below), whose sum is σ = 16826208. Its totient is φ = 1179648.

The previous prime is 4842221. The next prime is 4842247. The reversal of 4842240 is 422484.

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 4842240.

It is not an unprimeable number, because it can be changed into a prime (4842247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49872 + ... + 49968.

Almost surely, 24842240 is an apocalyptic number.

4842240 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 4842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413104).

4842240 is an abundant number, since it is smaller than the sum of its proper divisors (11983968).

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

4842240 is a wasteful number, since it uses less digits than its factorization.

4842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

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

The square root of 4842240 is about 2200.5090320196. The cubic root of 4842240 is about 169.1799024914.

The spelling of 4842240 in words is "four million, eight hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 97 104 120 128 130 156 160 192 194 195 208 240 256 260 291 312 320 384 388 390 416 480 485 520 582 624 640 768 776 780 832 960 970 1040 1164 1248 1261 1280 1455 1552 1560 1664 1920 1940 2080 2328 2496 2522 2910 3104 3120 3328 3783 3840 3880 4160 4656 4992 5044 5820 6208 6240 6305 7566 7760 8320 9312 9984 10088 11640 12416 12480 12610 15132 15520 16640 18624 18915 20176 23280 24832 24960 25220 30264 31040 37248 37830 40352 46560 49920 50440 60528 62080 74496 75660 80704 93120 100880 121056 124160 151320 161408 186240 201760 242112 302640 322816 372480 403520 484224 605280 807040 968448 1210560 1614080 2421120 4842240