Search a number
-
+
6406452 = 2236133
BaseRepresentation
bin11000011100000100110100
3110001111000000
4120130010310
53120001302
6345151300
7105311463
oct30340464
913044000
106406452
113686298
12218b530
131434000
14bca9da
1586831c
hex61c134

6406452 has 84 divisors (see below), whose sum is σ = 18209380. Its totient is φ = 1971216.

The previous prime is 6406447. The next prime is 6406457. The reversal of 6406452 is 2546046.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (6406447) and next prime (6406457).

It can be written as a sum of positive squares in 2 ways, for example, as 236196 + 6170256 = 486^2 + 2484^2 .

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

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6406457) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 492798 + ... + 492810.

Almost surely, 26406452 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 6406452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9104690).

6406452 is an abundant number, since it is smaller than the sum of its proper divisors (11802928).

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

6406452 is an equidigital number, since it uses as much as digits as its factorization.

6406452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6406452 is about 2531.0969953757. The cubic root of 6406452 is about 185.7259230803.

The spelling of 6406452 in words is "six million, four hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 729 972 1014 1053 1404 1458 1521 2028 2106 2197 2916 3042 3159 4212 4394 4563 6084 6318 6591 8788 9126 9477 12636 13182 13689 18252 18954 19773 26364 27378 37908 39546 41067 54756 59319 79092 82134 118638 123201 164268 177957 237276 246402 355914 492804 533871 711828 1067742 1601613 2135484 3203226 6406452