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4829440 = 2857311
BaseRepresentation
bin10010011011000100000000
3100002100202011
4102123010000
52214020230
6251302304
756023000
oct22330400
910070664
104829440
1127a9480
12174a994
131001275
148da000
15655e2a
hex49b100

4829440 has 144 divisors (see below), whose sum is σ = 14716800. Its totient is φ = 1505280.

The previous prime is 4829437. The next prime is 4829441. The reversal of 4829440 is 449284.

It is not an unprimeable number, because it can be changed into a prime (4829441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439035 + ... + 439045.

It is an arithmetic number, because the mean of its divisors is an integer number (102200).

Almost surely, 24829440 is an apocalyptic number.

4829440 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 4829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358400).

4829440 is an abundant number, since it is smaller than the sum of its proper divisors (9887360).

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

4829440 is an equidigital number, since it uses as much as digits as its factorization.

4829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4829440 is about 2197.5986894790. The cubic root of 4829440 is about 169.0307006303.

The spelling of 4829440 in words is "four million, eight hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 64 70 77 80 88 98 110 112 128 140 154 160 176 196 220 224 245 256 280 308 320 343 352 385 392 440 448 490 539 560 616 640 686 704 770 784 880 896 980 1078 1120 1232 1280 1372 1408 1540 1568 1715 1760 1792 1960 2156 2240 2464 2695 2744 2816 3080 3136 3430 3520 3773 3920 4312 4480 4928 5390 5488 6160 6272 6860 7040 7546 7840 8624 8960 9856 10780 10976 12320 12544 13720 14080 15092 15680 17248 18865 19712 21560 21952 24640 27440 30184 31360 34496 37730 43120 43904 49280 54880 60368 62720 68992 75460 86240 87808 98560 109760 120736 137984 150920 172480 219520 241472 301840 344960 439040 482944 603680 689920 965888 1207360 2414720 4829440