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4991000 = 235372331
BaseRepresentation
bin10011000010100000011000
3100101120100212
4103002200120
52234203000
6254550252
760265010
oct23024030
910346325
104991000
1128a98a3
121808388
131059971
1493cc40
15688c35
hex4c2818

4991000 has 128 divisors (see below), whose sum is σ = 14376960. Its totient is φ = 1584000.

The previous prime is 4990981. The next prime is 4991009. The reversal of 4991000 is 1994.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4991009) 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 31 ways as a sum of consecutive naturals, for example, 160985 + ... + 161015.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

Almost surely, 24991000 is an apocalyptic number.

4991000 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 4991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480).

4991000 is an abundant number, since it is smaller than the sum of its proper divisors (9385960).

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

4991000 is a wasteful number, since it uses less digits than its factorization.

4991000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 4991000 is about 2234.0546098965. The cubic root of 4991000 is about 170.8949344901.

Adding to 4991000 its reverse (1994), we get a palindrome (4992994).

The spelling of 4991000 in words is "four million, nine hundred ninety-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 31 35 40 46 50 56 62 70 92 100 115 124 125 140 155 161 175 184 200 217 230 248 250 280 310 322 350 434 460 500 575 620 644 700 713 775 805 868 875 920 1000 1085 1150 1240 1288 1400 1426 1550 1610 1736 1750 2170 2300 2852 2875 3100 3220 3500 3565 3875 4025 4340 4600 4991 5425 5704 5750 6200 6440 7000 7130 7750 8050 8680 9982 10850 11500 14260 15500 16100 17825 19964 20125 21700 23000 24955 27125 28520 31000 32200 35650 39928 40250 43400 49910 54250 71300 80500 89125 99820 108500 124775 142600 161000 178250 199640 217000 249550 356500 499100 623875 713000 998200 1247750 2495500 4991000