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4684992 = 263131877
BaseRepresentation
bin10001110111110011000000
322211000121020
4101313303000
52144404432
6244225440
754551604
oct21676300
98730536
104684992
11270a9a4
12169b280
13c805b0
1489d504
1562822c
hex477cc0

4684992 has 56 divisors (see below), whose sum is σ = 13356336. Its totient is φ = 1440768.

The previous prime is 4684991. The next prime is 4684993. The reversal of 4684992 is 2994864.

It is an interprime number because it is at equal distance from previous prime (4684991) and next prime (4684993).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4684991) 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 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 3434.

It is an arithmetic number, because the mean of its divisors is an integer number (238506).

Almost surely, 24684992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6678168).

4684992 is an abundant number, since it is smaller than the sum of its proper divisors (8671344).

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

4684992 is a wasteful number, since it uses less digits than its factorization.

4684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1895 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 4684992 is about 2164.4842341768. The cubic root of 4684992 is about 167.3283844119.

It can be divided in two parts, 468 and 4992, that added together give a triangular number (5460 = T104).

The spelling of 4684992 in words is "four million, six hundred eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1877 2496 3754 5631 7508 11262 15016 22524 24401 30032 45048 48802 60064 73203 90096 97604 120128 146406 180192 195208 292812 360384 390416 585624 780832 1171248 1561664 2342496 4684992