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18629408 = 25721092
BaseRepresentation
bin100011100010…
…0001100100000
31022001110202002
41013010030200
514232120113
61503143132
7314230100
oct107041440
938043662
1018629408
11a574606
1262a4aa8
133b23625
14268d200
15197ec58
hex11c4320

18629408 has 54 divisors (see below), whose sum is σ = 43059681. Its totient is φ = 7910784.

The previous prime is 18629407. The next prime is 18629411. The reversal of 18629408 is 80492681.

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 can be written as a sum of positive squares in 2 ways, for example, as 17875984 + 753424 = 4228^2 + 868^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3052.

It is not an unprimeable number, because it can be changed into a prime (18629407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170858 + ... + 170966.

Almost surely, 218629408 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 18629408

18629408 is an abundant number, since it is smaller than the sum of its proper divisors (24430273).

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

18629408 is an equidigital number, since it uses as much as digits as its factorization.

18629408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 18629408 is about 4316.1797923627. The cubic root of 18629408 is about 265.0938696761.

The spelling of 18629408 in words is "eighteen million, six hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 109 112 196 218 224 392 436 763 784 872 1526 1568 1744 3052 3488 5341 6104 10682 11881 12208 21364 23762 24416 42728 47524 83167 85456 95048 166334 170912 190096 332668 380192 582169 665336 1164338 1330672 2328676 2661344 4657352 9314704 18629408