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4842420 = 22351122329
BaseRepresentation
bin10010011110001110110100
3100010000112220
4102132032310
52214424140
6251442340
756105562
oct22361664
910100486
104842420
112808200
1217563b0
13100714b
14900a32
15659bd0
hex49e3b4

4842420 has 144 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1084160.

The previous prime is 4842407. The next prime is 4842427. The reversal of 4842420 is 242484.

4842420 = T229 + T230 + ... + T344.

4842420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166966 + ... + 166994.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 24842420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4842420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

4842420 is an abundant number, since it is smaller than the sum of its proper divisors (11245260).

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

4842420 is a wasteful number, since it uses less digits than its factorization.

4842420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 73 counting only the distinct ones).

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

The square root of 4842420 is about 2200.5499312672. The cubic root of 4842420 is about 169.1819987667.

The spelling of 4842420 in words is "four million, eight hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 29 30 33 44 46 55 58 60 66 69 87 92 110 115 116 121 132 138 145 165 174 220 230 242 253 276 290 319 330 345 348 363 435 460 484 506 580 605 638 660 667 690 726 759 870 957 1012 1210 1265 1276 1334 1380 1452 1518 1595 1740 1815 1914 2001 2420 2530 2668 2783 3036 3190 3335 3509 3630 3795 3828 4002 4785 5060 5566 6380 6670 7018 7260 7337 7590 8004 8349 9570 10005 10527 11132 13340 13915 14036 14674 15180 16698 17545 19140 20010 21054 22011 27830 29348 33396 35090 36685 40020 41745 42108 44022 52635 55660 70180 73370 80707 83490 88044 105270 110055 146740 161414 166980 210540 220110 242121 322828 403535 440220 484242 807070 968484 1210605 1614140 2421210 4842420