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4849920 = 28325421
BaseRepresentation
bin10010100000000100000000
3100010101211200
4102200010000
52220144140
6251541200
756136465
oct22400400
910111750
104849920
1128128a9
12175a800
13100a69a
1490366c
1565c030
hex4a0100

4849920 has 108 divisors (see below), whose sum is σ = 16820076. Its totient is φ = 1290240.

The previous prime is 4849909. The next prime is 4849951. The reversal of 4849920 is 299484.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 4260096 = 768^2 + 2064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11310 + ... + 11730.

Almost surely, 24849920 is an apocalyptic number.

4849920 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 4849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410038).

4849920 is an abundant number, since it is smaller than the sum of its proper divisors (11970156).

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

4849920 is a wasteful number, since it uses less digits than its factorization.

4849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4849920 is about 2202.2533914153. The cubic root of 4849920 is about 169.2692974367.

It can be divided in two parts, 484 and 9920, that added together give a square (10404 = 1022).

The spelling of 4849920 in words is "four million, eight hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 421 480 576 640 720 768 842 960 1152 1263 1280 1440 1684 1920 2105 2304 2526 2880 3368 3789 3840 4210 5052 5760 6315 6736 7578 8420 10104 11520 12630 13472 15156 16840 18945 20208 25260 26944 30312 33680 37890 40416 50520 53888 60624 67360 75780 80832 101040 107776 121248 134720 151560 161664 202080 242496 269440 303120 323328 404160 484992 538880 606240 808320 969984 1212480 1616640 2424960 4849920