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6426336 = 253773131
BaseRepresentation
bin11000100000111011100000
3110002111021110
4120200323200
53121120321
6345423320
7105423450
oct30407340
913074243
106426336
11369a224
12219ab40
131440087
14bd3d60
1586e176
hex620ee0

6426336 has 96 divisors (see below), whose sum is σ = 19692288. Its totient is φ = 1797120.

The previous prime is 6426317. The next prime is 6426349. The reversal of 6426336 is 6336246.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 62 + 45 + 25 + 64 + 313 + 314 + 66 .

Its product of digits (15552) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48991 + ... + 49121.

It is an arithmetic number, because the mean of its divisors is an integer number (205128).

Almost surely, 26426336 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 6426336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846144).

6426336 is an abundant number, since it is smaller than the sum of its proper divisors (13265952).

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

6426336 is a wasteful number, since it uses less digits than its factorization.

6426336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 6426336 is about 2535.0218933966. The cubic root of 6426336 is about 185.9178733279.

The spelling of 6426336 in words is "six million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 131 146 168 219 224 262 292 336 393 438 511 524 584 672 786 876 917 1022 1048 1168 1533 1572 1752 1834 2044 2096 2336 2751 3066 3144 3504 3668 4088 4192 5502 6132 6288 7008 7336 8176 9563 11004 12264 12576 14672 16352 19126 22008 24528 28689 29344 38252 44016 49056 57378 66941 76504 88032 114756 133882 153008 200823 229512 267764 306016 401646 459024 535528 803292 918048 1071056 1606584 2142112 3213168 6426336