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6485232 = 2431319547
BaseRepresentation
bin11000101111010011110000
3110012111001210
4120233103300
53130011412
6351000120
7106060245
oct30572360
913174053
106485232
11372a4a6
122209040
131460b20
14c0b5cc
1588183c
hex62f4f0

6485232 has 80 divisors (see below), whose sum is σ = 19026560. Its totient is φ = 1886976.

The previous prime is 6485209. The next prime is 6485233. The reversal of 6485232 is 2325846.

It is a d-powerful number, because it can be written as 63 + 4 + 87 + 52 + 214 + 311 + 222 .

It is a self number, because there is not a number n which added to its sum of digits gives 6485232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11583 + ... + 12129.

It is an arithmetic number, because the mean of its divisors is an integer number (237832).

Almost surely, 26485232 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 6485232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9513280).

6485232 is an abundant number, since it is smaller than the sum of its proper divisors (12541328).

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

6485232 is a wasteful number, since it uses less digits than its factorization.

6485232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 6485232 is about 2546.6118667751. The cubic root of 6485232 is about 186.4841129100.

The spelling of 6485232 in words is "six million, four hundred eighty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 547 624 741 912 988 1094 1482 1641 1976 2188 2964 3282 3952 4376 5928 6564 7111 8752 10393 11856 13128 14222 20786 21333 26256 28444 31179 41572 42666 56888 62358 83144 85332 113776 124716 135109 166288 170664 249432 270218 341328 405327 498864 540436 810654 1080872 1621308 2161744 3242616 6485232