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4683042 = 233713953
BaseRepresentation
bin10001110111010100100010
322210220221000
4101313110202
52144324132
6244212430
754543120
oct21672442
98726830
104683042
112709491
12169a116
13c7c740
1489c910
1562787c
hex477522

4683042 has 64 divisors (see below), whose sum is σ = 12821760. Its totient is φ = 1233792.

The previous prime is 4683037. The next prime is 4683047. The reversal of 4683042 is 2403864.

It is an interprime number because it is at equal distance from previous prime (4683037) and next prime (4683047).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4682997 and 4683015.

It is not an unprimeable number, because it can be changed into a prime (4683047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4438 + ... + 5390.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 24683042 is an apocalyptic number.

4683042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4683042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410880).

4683042 is an abundant number, since it is smaller than the sum of its proper divisors (8138718).

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

4683042 is a wasteful number, since it uses less digits than its factorization.

4683042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4683042 is about 2164.0337335633. The cubic root of 4683042 is about 167.3051658998.

The spelling of 4683042 in words is "four million, six hundred eighty-three thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 953 1638 1906 2457 2859 4914 5718 6671 8577 12389 13342 17154 20013 24778 25731 37167 40026 51462 60039 74334 86723 111501 120078 173446 180117 223002 260169 334503 360234 520338 669006 780507 1561014 2341521 4683042