Search a number
-
+
4982320 = 245723141
BaseRepresentation
bin10011000000011000110000
3100101010110101
4103000120300
52233413240
6254442144
760230500
oct23003060
910333411
104982320
1128a3322
121803354
131055a25
14939a00
1568639a
hex4c0630

4982320 has 120 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 1612800.

The previous prime is 4982317. The next prime is 4982333. The reversal of 4982320 is 232894.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 121500 + ... + 121540.

Almost surely, 24982320 is an apocalyptic number.

4982320 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 4982320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

4982320 is an abundant number, since it is smaller than the sum of its proper divisors (9266768).

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

4982320 is a wasteful number, since it uses less digits than its factorization.

4982320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4982320 is about 2232.1111083456. Note that the first 4 decimals coincide. The cubic root of 4982320 is about 170.7958074757.

It can be divided in two parts, 49 and 82320, that added together give a square (82369 = 2872).

The spelling of 4982320 in words is "four million, nine hundred eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 41 49 56 62 70 80 82 98 112 124 140 155 164 196 205 217 245 248 280 287 310 328 392 410 434 490 496 560 574 620 656 784 820 868 980 1085 1148 1240 1271 1435 1519 1640 1736 1960 2009 2170 2296 2480 2542 2870 3038 3280 3472 3920 4018 4340 4592 5084 5740 6076 6355 7595 8036 8680 8897 10045 10168 11480 12152 12710 15190 16072 17360 17794 20090 20336 22960 24304 25420 30380 32144 35588 40180 44485 50840 60760 62279 71176 80360 88970 101680 121520 124558 142352 160720 177940 249116 311395 355880 498232 622790 711760 996464 1245580 2491160 4982320