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8368416 = 253272593
BaseRepresentation
bin11111111011000100100000
3120202011022100
4133323010200
54120242131
6455210400
7131062500
oct37730440
916664270
108368416
1147a6351
122976a00
131970034
14117ba00
15b047e6
hex7fb120

8368416 has 108 divisors (see below), whose sum is σ = 27729702. Its totient is φ = 2386944.

The previous prime is 8368361. The next prime is 8368421. The reversal of 8368416 is 6148638.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 1587600 = 2604^2 + 1260^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13816 + ... + 14408.

Almost surely, 28368416 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 8368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864851).

8368416 is an abundant number, since it is smaller than the sum of its proper divisors (19361286).

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

8368416 is a wasteful number, since it uses less digits than its factorization.

8368416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8368416 is about 2892.8214600974. The cubic root of 8368416 is about 203.0241746874.

The spelling of 8368416 in words is "eight million, three hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 593 672 784 882 1008 1176 1186 1568 1764 1779 2016 2352 2372 3528 3558 4151 4704 4744 5337 7056 7116 8302 9488 10674 12453 14112 14232 16604 18976 21348 24906 28464 29057 33208 37359 42696 49812 56928 58114 66416 74718 85392 87171 99624 116228 132832 149436 170784 174342 199248 232456 261513 298872 348684 398496 464912 523026 597744 697368 929824 1046052 1195488 1394736 2092104 2789472 4184208 8368416